212532933120 has 160 divisors (see below), whose sum is σ = 679702871232. Its totient is φ = 56653627392.

The previous prime is 212532933089. The next prime is 212532933149. The reversal of 212532933120 is 21339235212.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34426354 + ... + 34432526.

Almost surely, 2^212532933120 is an apocalyptic number.

212532933120 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 212532933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339851435616).

212532933120 is an abundant number, since it is smaller than the sum of its proper divisors (467169938112).

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

212532933120 is an equidigital number, since it uses as much as digits as its factorization.

212532933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 212532933120 in words is "two hundred twelve billion, five hundred thirty-two million, nine hundred thirty-three thousand, one hundred twenty".