122112211022120 has 64 divisors (see below), whose sum is σ = 299790443865600. Its totient is φ = 44395481652480.

The previous prime is 122112211022119. The next prime is 122112211022147. The reversal of 122112211022120 is 21220112211221.

122112211022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112211022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122112211022092 and 122112211022101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25812440 + ... + 30174599.

It is an arithmetic number, because the mean of its divisors is an integer number (4684225685400).

Almost surely, 2^{122112211022120} is an apocalyptic number.

122112211022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112211022120 is an abundant number, since it is smaller than the sum of its proper divisors (177678232843480).

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

122112211022120 is a wasteful number, since it uses less digits than its factorization.

122112211022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55992018 (or 55992014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122112211022120 its reverse (21220112211221), we get a palindrome (143332323233341).

The spelling of 122112211022120 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred eleven million, twenty-two thousand, one hundred twenty".