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123421312 = 2772353113
BaseRepresentation
bin1110101101101…
…00001010000000
322121020110012201
413112310022000
5223043440222
620125202544
73026030620
oct726641200
9277213181
10123421312
1163739293
1235400454
131c754281
141256a880
15ac7e427
hex75b4280

123421312 has 128 divisors (see below), whose sum is σ = 301397760. Its totient is φ = 49201152.

The previous prime is 123421271. The next prime is 123421327. The reversal of 123421312 is 213124321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 123421312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092168 + ... + 1092280.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 2123421312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

123421312 is an abundant number, since it is smaller than the sum of its proper divisors (177976448).

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

123421312 is a wasteful number, since it uses less digits than its factorization.

123421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 123421312 is about 11109.5144808403. The cubic root of 123421312 is about 497.8861586096.

Adding to 123421312 its reverse (213124321), we get a palindrome (336545633).

The spelling of 123421312 in words is "one hundred twenty-three million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 53 56 64 92 106 112 113 128 161 184 212 224 226 322 368 371 424 448 452 644 736 742 791 848 896 904 1219 1288 1472 1484 1582 1696 1808 2438 2576 2599 2944 2968 3164 3392 3616 4876 5152 5198 5936 5989 6328 6784 7232 8533 9752 10304 10396 11872 11978 12656 14464 17066 18193 19504 20608 20792 23744 23956 25312 34132 36386 39008 41584 41923 47488 47912 50624 68264 72772 78016 83168 83846 95824 101248 136528 137747 145544 156032 166336 167692 191648 273056 275494 291088 332672 335384 383296 546112 550988 582176 670768 766592 964229 1092224 1101976 1164352 1341536 1928458 2203952 2328704 2683072 3856916 4407904 5366144 7713832 8815808 15427664 17631616 30855328 61710656 123421312