12312678882672 has 480 divisors, whose sum is σ = 41703083974656. Its totient is φ = 3315090240000.

The previous prime is 12312678882661. The next prime is 12312678882773. The reversal of 12312678882672 is 27628887621321.

12312678882672 is a `hidden beast` number, since 1 + 2 + 31 + 267 + 8 + 88 + 267 + 2 = 666.

It is a super-2 number, since 2×12312678882672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 3705288403 + ... + 3705291725.

Almost surely, 2^{12312678882672} is an apocalyptic number.

12312678882672 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 12312678882672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851541987328).

12312678882672 is an abundant number, since it is smaller than the sum of its proper divisors (29390405091984).

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

12312678882672 is a wasteful number, since it uses less digits than its factorization.

12312678882672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5680 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 12312678882672 in words is "twelve trillion, three hundred twelve billion, six hundred seventy-eight million, eight hundred eighty-two thousand, six hundred seventy-two".