212520400 has 60 divisors (see below), whose sum is σ = 540631692. Its totient is φ = 80005120.

The previous prime is 212520397. The next prime is 212520433. The reversal of 212520400 is 4025212.

212520400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 876096 + 211644304 = 936^2 + 14548^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8827 + ... + 22426.

Almost surely, 2^212520400 is an apocalyptic number.

212520400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212520400 is an abundant number, since it is smaller than the sum of its proper divisors (328111292).

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

212520400 is a wasteful number, since it uses less digits than its factorization.

212520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31288 (or 31277 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 212520400 is about 14578.0794345483. The cubic root of 212520400 is about 596.7606910837.

Adding to 212520400 its reverse (4025212), we get a palindrome (216545612).

The spelling of 212520400 in words is "two hundred twelve million, five hundred twenty thousand, four hundred".