213211122231120 has 160 divisors (see below), whose sum is σ = 712375370724864. Its totient is φ = 52440102604800.

The previous prime is 213211122231119. The next prime is 213211122231169. The reversal of 213211122231120 is 21132221112312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23915941 + ... + 31597380.

Almost surely, 2^{213211122231120} is an apocalyptic number.

213211122231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213211122231120 is an abundant number, since it is smaller than the sum of its proper divisors (499164248493744).

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

213211122231120 is a wasteful number, since it uses less digits than its factorization.

213211122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55514581 (or 55514575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 213211122231120 its reverse (21132221112312), we get a palindrome (234343343343432).

The spelling of 213211122231120 in words is "two hundred thirteen trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".