212520052800 has 504 divisors, whose sum is σ = 835347620640. Its totient is φ = 50811494400.

The previous prime is 212520052753. The next prime is 212520052813. The reversal of 212520052800 is 8250025212.

212520052800 is a `hidden beast` number, since 2 + 12 + 520 + 0 + 52 + 80 + 0 = 666.

It is a super-2 number, since 2×212520052800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11554011 + ... + 11572389.

Almost surely, 2^212520052800 is an apocalyptic number.

212520052800 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 212520052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417673810320).

212520052800 is an abundant number, since it is smaller than the sum of its proper divisors (622827567840).

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

212520052800 is a wasteful number, since it uses less digits than its factorization.

212520052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18491 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 212520052800 in words is "two hundred twelve billion, five hundred twenty million, fifty-two thousand, eight hundred".