213059120 has 40 divisors (see below), whose sum is σ = 516904416. Its totient is φ = 81517568.

The previous prime is 213059111. The next prime is 213059159. The reversal of 213059120 is 21950312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56057 + ... + 59736.

Almost surely, 2^213059120 is an apocalyptic number.

213059120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213059120 is an abundant number, since it is smaller than the sum of its proper divisors (303845296).

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

213059120 is a wasteful number, since it uses less digits than its factorization.

213059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115829 (or 115823 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 213059120 is about 14596.5447966291. The cubic root of 213059120 is about 597.2645104106.

The spelling of 213059120 in words is "two hundred thirteen million, fifty-nine thousand, one hundred twenty".