213330222123120 has 120 divisors (see below), whose sum is σ = 716457225624192. Its totient is φ = 56886214694400.

The previous prime is 213330222123091. The next prime is 213330222123121. The reversal of 213330222123120 is 21321222033312.

213330222123120 is a `hidden beast` number, since 2 + 1 + 3 + 330 + 2 + 2 + 2 + 12 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330222123121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17489505 + ... + 27065535.

Almost surely, 2^{213330222123120} is an apocalyptic number.

213330222123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213330222123120 is an abundant number, since it is smaller than the sum of its proper divisors (503127003501072).

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

213330222123120 is a wasteful number, since it uses less digits than its factorization.

213330222123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606991 (or 9606982 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213330222123120 its reverse (21321222033312), we get a palindrome (234651444156432).

The spelling of 213330222123120 in words is "two hundred thirteen trillion, three hundred thirty billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".