211122012001120 has 48 divisors (see below), whose sum is σ = 544119003661968. Its totient is φ = 76771640727040.

The previous prime is 211122012001073. The next prime is 211122012001171. The reversal of 211122012001120 is 21100210221112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211122012001094 and 211122012001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59977842559 + ... + 59977846078.

It is an arithmetic number, because the mean of its divisors is an integer number (11335812576291).

Almost surely, 2^{211122012001120} is an apocalyptic number.

211122012001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122012001120 is an abundant number, since it is smaller than the sum of its proper divisors (332996991660848).

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

211122012001120 is a wasteful number, since it uses less digits than its factorization.

211122012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119955688663 (or 119955688655 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211122012001120 its reverse (21100210221112), we get a palindrome (232222222222232).

The spelling of 211122012001120 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one thousand, one hundred twenty".