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121310212222032 = 2434179796397987
BaseRepresentation
bin11011100101010010111100…
…000110110110110001010000
3120220112010212021020010012020
4123211102330012312301100
5111400021303312101112
61110001050411531440
734360242101260611
oct3345227406666120
9526463767203166
10121310212222032
1135720410280a19
1211732894759b80
13528c672187932
1421d5634a21c08
15e05854da948c
hex6e54bc1b6c50

121310212222032 has 160 divisors (see below), whose sum is σ = 325136036628480. Its totient is φ = 38945813437440.

The previous prime is 121310212222027. The next prime is 121310212222039. The reversal of 121310212222032 is 230222212013121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121310212221993 and 121310212222011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121310212222039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237974543 + ... + 1238072529.

It is an arithmetic number, because the mean of its divisors is an integer number (2032100228928).

Almost surely, 2121310212222032 is an apocalyptic number.

121310212222032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310212222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162568018314240).

121310212222032 is an abundant number, since it is smaller than the sum of its proper divisors (203825824406448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121310212222032 is a wasteful number, since it uses less digits than its factorization.

121310212222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106081 (or 106075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121310212222032 its reverse (230222212013121), we get a palindrome (351532424235153).

The spelling of 121310212222032 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred twelve million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 79 82 123 158 164 237 246 316 328 474 492 632 656 948 984 1264 1896 1968 3239 3792 6478 7963 9717 12956 15926 19434 23889 25912 31852 38868 47778 51824 63704 77736 95556 97987 127408 155472 191112 195974 293961 326483 382224 391948 587922 629077 652966 783896 979449 1175844 1258154 1305932 1567792 1887231 1958898 2351688 2516308 2611864 3774462 3917796 4017467 4703376 5032616 5223728 7548924 7740973 7835592 8034934 10065232 12052401 15097848 15481946 15671184 16069868 23222919 24104802 25792157 30195696 30963892 32139736 46445838 48209604 51584314 61927784 64279472 77376471 92891676 96419208 103168628 123855568 154752942 185783352 192838416 206337256 309505884 317379893 371566704 412674512 619011768 634759786 780270481 952139679 1238023536 1269519572 1560540962 1904279358 2340811443 2539039144 3121081924 3808558716 4681622886 5078078288 6242163848 7617117432 9363245772 12484327696 15234234864 18726491544 31991089721 37452983088 61641367999 63982179442 95973269163 123282735998 127964358884 184924103997 191946538326 246565471996 255928717768 369848207994 383893076652 493130943992 511857435536 739696415988 767786153304 986261887984 1479392831976 1535572306608 2527296087959 2958785663952 5054592175918 7581888263877 10109184351836 15163776527754 20218368703672 30327553055508 40436737407344 60655106111016 121310212222032