213012120 has 64 divisors (see below), whose sum is σ = 640638720. Its totient is φ = 56660864.

The previous prime is 213012109. The next prime is 213012133. The reversal of 213012120 is 21210312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213012096 and 213012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51157 + ... + 55163.

It is an arithmetic number, because the mean of its divisors is an integer number (10009980).

Almost surely, 2^213012120 is an apocalyptic number.

213012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012120 is an abundant number, since it is smaller than the sum of its proper divisors (427626600).

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

213012120 is a wasteful number, since it uses less digits than its factorization.

213012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213012120 is about 14594.9347377780. The cubic root of 213012120 is about 597.2205891172.

Adding to 213012120 its reverse (21210312), we get a palindrome (234222432).

The spelling of 213012120 in words is "two hundred thirteen million, twelve thousand, one hundred twenty".