211213233120 has 96 divisors (see below), whose sum is σ = 683303408928. Its totient is φ = 54801266688.

The previous prime is 211213233109. The next prime is 211213233139. The reversal of 211213233120 is 21332312112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211213233120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5928559 + ... + 5964078.

It is an arithmetic number, because the mean of its divisors is an integer number (7117743843).

Almost surely, 2^211213233120 is an apocalyptic number.

211213233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213233120 is an abundant number, since it is smaller than the sum of its proper divisors (472090175808).

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

211213233120 is a wasteful number, since it uses less digits than its factorization.

211213233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892692 (or 11892684 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211213233120 its reverse (21332312112), we get a palindrome (232545545232).

The spelling of 211213233120 in words is "two hundred eleven billion, two hundred thirteen million, two hundred thirty-three thousand, one hundred twenty".