212532400 has 30 divisors (see below), whose sum is σ = 510610052. Its totient is φ = 85012800.

The previous prime is 212532377. The next prime is 212532401. The reversal of 212532400 is 4235212.

It is not an unprimeable number, because it can be changed into a prime (212532401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265266 + ... + 266065.

Almost surely, 2^212532400 is an apocalyptic number.

212532400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212532400 is an abundant number, since it is smaller than the sum of its proper divisors (298077652).

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

212532400 is a wasteful number, since it uses less digits than its factorization.

212532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531349 (or 531338 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 212532400 is about 14578.4910055876. The cubic root of 212532400 is about 596.7719229365.

Adding to 212532400 its reverse (4235212), we get a palindrome (216767612).

It can be divided in two parts, 21253 and 2400, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 212532400 in words is "two hundred twelve million, five hundred thirty-two thousand, four hundred".