212534236800 has 768 divisors, whose sum is σ = 798872976000. Its totient is φ = 55163289600.

The previous prime is 212534236799. The next prime is 212534236807. The reversal of 212534236800 is 8632435212.

212534236800 is a `hidden beast` number, since 2 + 1 + 253 + 42 + 368 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212534236807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881884680 + ... + 881884920.

Almost surely, 2^212534236800 is an apocalyptic number.

212534236800 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 212534236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399436488000).

212534236800 is an abundant number, since it is smaller than the sum of its proper divisors (586338739200).

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

212534236800 is a wasteful number, since it uses less digits than its factorization.

212534236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 212534236800 in words is "two hundred twelve billion, five hundred thirty-four million, two hundred thirty-six thousand, eight hundred".