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12000121032312 = 2332765099365747
BaseRepresentation
bin1010111010011111111011…
…1100111000111001111000
31120111012102001211011220200
42232213332330320321320
53033102221441013222
641304440212122200
72345660120533260
oct256477674707170
946435361734820
1012000121032312
11390724a531206
121419854306360
136907b67b863a
142d6b47ac67a0
1515c23d87beac
hexae9fef38e78

12000121032312 has 96 divisors (see below), whose sum is σ = 37143903888000. Its totient is φ = 3428543967552.

The previous prime is 12000121032269. The next prime is 12000121032323. The reversal of 12000121032312 is 21323012100021.

12000121032312 is a `hidden beast` number, since 1 + 200 + 0 + 121 + 0 + 32 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32627023 + ... + 32992769.

It is an arithmetic number, because the mean of its divisors is an integer number (386915665500).

Almost surely, 212000121032312 is an apocalyptic number.

12000121032312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000121032312 is an abundant number, since it is smaller than the sum of its proper divisors (25143782855688).

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

12000121032312 is a wasteful number, since it uses less digits than its factorization.

12000121032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430865 (or 430858 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12000121032312 its reverse (21323012100021), we get a palindrome (33323133132333).

The spelling of 12000121032312 in words is "twelve trillion, one hundred twenty-one million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 65099 130198 195297 260396 365747 390594 455693 520792 585891 731494 781188 911386 1097241 1171782 1367079 1462988 1562376 1822772 2194482 2343564 2560229 2734158 2925976 3291723 3645544 4101237 4388964 4687128 5120458 5468316 6583446 7680687 8202474 8777928 10240916 10936632 13166892 15361374 16404948 20481832 23042061 26333784 30722748 32809896 46084122 61445496 92168244 184336488 23809763953 47619527906 71429291859 95239055812 142858583718 166668347671 190478111624 214287875577 285717167436 333336695342 428575751154 500005043013 571434334872 666673390684 857151502308 1000010086026 1333346781368 1500015129039 1714303004616 2000020172052 3000030258078 4000040344104 6000060516156 12000121032312