213179120 has 80 divisors (see below), whose sum is σ = 617960448. Its totient is φ = 66443520.

The previous prime is 213179117. The next prime is 213179137. The reversal of 213179120 is 21971312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 213179120.

It is a congruent number.

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, 11144 + ... + 23463.

Almost surely, 2^213179120 is an apocalyptic number.

213179120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213179120 is an abundant number, since it is smaller than the sum of its proper divisors (404781328).

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

213179120 is a wasteful number, since it uses less digits than its factorization.

213179120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34638 (or 34632 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 213179120 is about 14600.6547798378. The cubic root of 213179120 is about 597.3766205919.

The spelling of 213179120 in words is "two hundred thirteen million, one hundred seventy-nine thousand, one hundred twenty".