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12116521992960 = 28325721119313313
BaseRepresentation
bin1011000001010001100011…
…1111010100001100000000
31120220022212020202122120100
42300110120333110030000
53042004114112233320
641434130420442400
72360250465424500
oct260243077241400
946808766678510
1012116521992960
113951651873840
12143831a849400
1369b77716ac08
142dc62b04da00
151602a28b0790
hexb0518fd4300

12116521992960 has 2592 divisors, whose sum is σ = 57823460997120. Its totient is φ = 2307568435200.

The previous prime is 12116521992899. The next prime is 12116521992983. The reversal of 12116521992960 is 6929912561121.

It is a happy number.

12116521992960 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 521 + 99 + 29 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12116521992897 and 12116521992906.

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 287 ways as a sum of consecutive naturals, for example, 3657264264 + ... + 3657267576.

Almost surely, 212116521992960 is an apocalyptic number.

12116521992960 is a gapful number since it is divisible by the number (10) 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 12116521992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28911730498560).

12116521992960 is an abundant number, since it is smaller than the sum of its proper divisors (45706939004160).

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

12116521992960 is a wasteful number, since it uses less digits than its factorization.

12116521992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 12116521992960 in words is "twelve trillion, one hundred sixteen billion, five hundred twenty-one million, nine hundred ninety-two thousand, nine hundred sixty".