12015181688832 has 832 divisors, whose sum is σ = 42089944960000. Its totient is φ = 3385102565376.

The previous prime is 12015181688801. The next prime is 12015181688879. The reversal of 12015181688832 is 23888618151021.

It is a happy number.

12015181688832 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 518 + 16 + 8 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769110919 + ... + 2769115257.

Almost surely, 2^{12015181688832} is an apocalyptic number.

12015181688832 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 12015181688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044972480000).

12015181688832 is an abundant number, since it is smaller than the sum of its proper divisors (30074763271168).

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

12015181688832 is an frugal number, since it uses more digits than its factorization.

12015181688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 12015181688832 in words is "twelve trillion, fifteen billion, one hundred eighty-one million, six hundred eighty-eight thousand, eight hundred thirty-two".