12076238287872 has 352 divisors, whose sum is σ = 39233384985600. Its totient is φ = 3639005798400.

The previous prime is 12076238287843. The next prime is 12076238287901. The reversal of 12076238287872 is 27878283267021.

12076238287872 is a `hidden beast` number, since 120 + 7 + 62 + 382 + 8 + 7 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (12076238287843) and next prime (12076238287901).

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54327997 + ... + 54549827.

Almost surely, 2^{12076238287872} is an apocalyptic number.

12076238287872 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 12076238287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616692492800).

12076238287872 is an abundant number, since it is smaller than the sum of its proper divisors (27157146697728).

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

12076238287872 is a wasteful number, since it uses less digits than its factorization.

12076238287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222050 (or 222026 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 12076238287872 in words is "twelve trillion, seventy-six billion, two hundred thirty-eight million, two hundred eighty-seven thousand, eight hundred seventy-two".