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121033881612 = 22347211252919
BaseRepresentation
bin111000010111000101…
…1100111100000001100
3102120102001121020110000
41300232023213200030
53440334133202422
6131334024044300
711513222006340
oct1605613474014
9376361536400
10121033881612
114736a51a736
121b55a003690
13b54b458237
145c02793620
153235b2acac
hex1c2e2e780c

121033881612 has 120 divisors (see below), whose sum is σ = 363322615040. Its totient is φ = 34417081440.

The previous prime is 121033881607. The next prime is 121033881659. The reversal of 121033881612 is 216188330121.

121033881612 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 38 + 8 + 1 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 352089 + ... + 605007.

Almost surely, 2121033881612 is an apocalyptic number.

121033881612 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 121033881612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181661307520).

121033881612 is an abundant number, since it is smaller than the sum of its proper divisors (242288733428).

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

121033881612 is a wasteful number, since it uses less digits than its factorization.

121033881612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253153 (or 253142 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 121033881612 in words is "one hundred twenty-one billion, thirty-three million, eight hundred eighty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 211 252 324 378 422 567 633 756 844 1134 1266 1477 1899 2268 2532 2954 3798 4431 5697 5908 7596 8862 11394 13293 17091 17724 22788 26586 34182 39879 53172 68364 79758 119637 159516 239274 252919 478548 505838 758757 1011676 1517514 1770433 2276271 3035028 3540866 4552542 5311299 6828813 7081732 9105084 10622598 13657626 15933897 20486439 21245196 27315252 31867794 40972878 47801691 53365909 63735588 81945756 95603382 106731818 143405073 160097727 191206764 213463636 286810146 320195454 373561363 480293181 573620292 640390908 747122726 960586362 1120684089 1440879543 1494245452 1921172724 2241368178 2881759086 3362052267 4322638629 4482736356 5763518172 6724104534 8645277258 10086156801 13448209068 17290554516 20172313602 30258470403 40344627204 60516940806 121033881612