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121302010032 = 24371937972347
BaseRepresentation
bin111000011111000101…
…0011100100010110000
3102121002202010120111020
41300332022130202300
53441411303310112
6131420403015440
711522656034010
oct1607612344260
9377082116436
10121302010032
1147497905575
121b61396a580
13b591b771c8
145c2a22bc40
15324e44148c
hex1c3e29c8b0

121302010032 has 160 divisors (see below), whose sum is σ = 360590587392. Its totient is φ = 34420211712.

The previous prime is 121302010021. The next prime is 121302010043. The reversal of 121302010032 is 230010203121.

It is an interprime number because it is at equal distance from previous prime (121302010021) and next prime (121302010043).

It is a junction number, because it is equal to n+sod(n) for n = 121302009993 and 121302010020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51682683 + ... + 51685029.

Almost surely, 2121302010032 is an apocalyptic number.

121302010032 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 121302010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180295293696).

121302010032 is an abundant number, since it is smaller than the sum of its proper divisors (239288577360).

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

121302010032 is a wasteful number, since it uses less digits than its factorization.

121302010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121302010032 its reverse (230010203121), we get a palindrome (351312213153).

The spelling of 121302010032 in words is "one hundred twenty-one billion, three hundred two million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 797 1158 1351 1544 1594 2316 2347 2391 2702 3088 3188 4053 4632 4694 4782 5404 5579 6376 7041 8106 9264 9388 9564 10808 11158 12752 14082 16212 16429 16737 18776 19128 21616 22316 28164 32424 32858 33474 37552 38256 44632 49287 56328 64848 65716 66948 89264 98574 112656 131432 133896 153821 197148 262864 267792 307642 394296 452971 461463 615284 788592 905942 922926 1076747 1230568 1358913 1811884 1845852 1870559 2153494 2461136 2717826 3170797 3230241 3623768 3691704 3741118 4306988 5435652 5611677 6341594 6460482 7247536 7383408 7482236 8613976 9512391 10871304 11223354 12683188 12920964 13093913 14964472 17227952 19024782 21742608 22446708 25366376 25841928 26187826 29928944 38049564 39281739 44893416 50732752 51683856 52375652 76099128 78563478 89786832 104751304 152198256 157126956 209502608 314253912 361017887 628507824 722035774 1083053661 1444071548 2166107322 2527125209 2888143096 4332214644 5054250418 5776286192 7581375627 8664429288 10108500836 15162751254 17328858576 20217001672 30325502508 40434003344 60651005016 121302010032