213120223120 has 40 divisors (see below), whose sum is σ = 566290880064. Its totient is φ = 73069790592.

The previous prime is 213120223033. The next prime is 213120223133. The reversal of 213120223120 is 21322021312.

213120223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 190285354 + ... + 190286473.

Almost surely, 2^213120223120 is an apocalyptic number.

213120223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120223120 is an abundant number, since it is smaller than the sum of its proper divisors (353170656944).

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

213120223120 is a wasteful number, since it uses less digits than its factorization.

213120223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380571847 (or 380571841 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213120223120 its reverse (21322021312), we get a palindrome (234442244432).

The spelling of 213120223120 in words is "two hundred thirteen billion, one hundred twenty million, two hundred twenty-three thousand, one hundred twenty".