213122400 has 72 divisors (see below), whose sum is σ = 693721224. Its totient is φ = 56832000.

The previous prime is 213122389. The next prime is 213122431. The reversal of 213122400 is 4221312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213122400.

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, 42001 + ... + 46800.

It is an arithmetic number, because the mean of its divisors is an integer number (9635017).

Almost surely, 2^213122400 is an apocalyptic number.

213122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122400 is an abundant number, since it is smaller than the sum of its proper divisors (480598824).

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

213122400 is a wasteful number, since it uses less digits than its factorization.

213122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88824 (or 88811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213122400 is about 14598.7122719780. The cubic root of 213122400 is about 597.3236350909.

Adding to 213122400 its reverse (4221312), we get a palindrome (217343712).

It can be divided in two parts, 2131 and 22400, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 213122400 in words is "two hundred thirteen million, one hundred twenty-two thousand, four hundred".