12150568958976 has 2112 divisors, whose sum is σ = 46634202980352. Its totient is φ = 2965408579584.

The previous prime is 12150568958951. The next prime is 12150568958981. The reversal of 12150568958976 is 67985986505121.

12150568958976 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 568 + 9 + 58 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×12150568958976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43864869750 + ... + 43864870026.

Almost surely, 2^{12150568958976} is an apocalyptic number.

12150568958976 is a gapful number since it is divisible by the number (16) 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 12150568958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317101490176).

12150568958976 is an abundant number, since it is smaller than the sum of its proper divisors (34483634021376).

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

12150568958976 is a wasteful number, since it uses less digits than its factorization.

12150568958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 12150568958976 in words is "twelve trillion, one hundred fifty billion, five hundred sixty-eight million, nine hundred fifty-eight thousand, nine hundred seventy-six".