122112011120 has 160 divisors (see below), whose sum is σ = 313479936000. Its totient is φ = 43867837440.

The previous prime is 122112011093. The next prime is 122112011179. The reversal of 122112011120 is 21110211221.

It is a super-2 number, since 2×122112011120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112011095 and 122112011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36352001 + ... + 36355359.

It is an arithmetic number, because the mean of its divisors is an integer number (1959249600).

Almost surely, 2^122112011120 is an apocalyptic number.

122112011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968000).

122112011120 is an abundant number, since it is smaller than the sum of its proper divisors (191367924880).

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

122112011120 is a wasteful number, since it uses less digits than its factorization.

122112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122112011120 its reverse (21110211221), we get a palindrome (143222222341).

The spelling of 122112011120 in words is "one hundred twenty-two billion, one hundred twelve million, eleven thousand, one hundred twenty".