213110012120 has 64 divisors (see below), whose sum is σ = 499866128640. Its totient is φ = 81677376000.

The previous prime is 213110012117. The next prime is 213110012131. The reversal of 213110012120 is 21210011312.

213110012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213110012095 and 213110012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725567 + ... + 976046.

It is an arithmetic number, because the mean of its divisors is an integer number (7810408260).

Almost surely, 2^213110012120 is an apocalyptic number.

213110012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213110012120 is an abundant number, since it is smaller than the sum of its proper divisors (286756116520).

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

213110012120 is a wasteful number, since it uses less digits than its factorization.

213110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701756 (or 1701752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 213110012120 its reverse (21210011312), we get a palindrome (234320023432).

The spelling of 213110012120 in words is "two hundred thirteen billion, one hundred ten million, twelve thousand, one hundred twenty".