12656172000 has 384 divisors, whose sum is σ = 42717362688. Its totient is φ = 3274752000.

The previous prime is 12656171989. The next prime is 12656172007. The reversal of 12656172000 is 27165621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12656172007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96611935 + ... + 96612065.

It is an arithmetic number, because the mean of its divisors is an integer number (111243132).

Almost surely, 2^12656172000 is an apocalyptic number.

12656172000 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 12656172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21358681344).

12656172000 is an abundant number, since it is smaller than the sum of its proper divisors (30061190688).

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

12656172000 is a wasteful number, since it uses less digits than its factorization.

12656172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 12656172000 in words is "twelve billion, six hundred fifty-six million, one hundred seventy-two thousand".