212531256000 has 1792 divisors, whose sum is σ = 954019123200. Its totient is φ = 45287424000.

The previous prime is 212531255983. The next prime is 212531256089. The reversal of 212531256000 is 652135212.

It is a happy number.

212531256000 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 31 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1622375935 + ... + 1622376065.

Almost surely, 2^212531256000 is an apocalyptic number.

212531256000 is a gapful number since it is divisible by the number (20) 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 212531256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477009561600).

212531256000 is an abundant number, since it is smaller than the sum of its proper divisors (741487867200).

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

212531256000 is a wasteful number, since it uses less digits than its factorization.

212531256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 212531256000 in words is "two hundred twelve billion, five hundred thirty-one million, two hundred fifty-six thousand".