122031011321120 has 144 divisors (see below), whose sum is σ = 324259360729920. Its totient is φ = 43342938186240.

The previous prime is 122031011321083. The next prime is 122031011321129. The reversal of 122031011321120 is 21123110130221.

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 = 122031011321092 and 122031011321101.

It is not an unprimeable number, because it can be changed into a prime (122031011321129) 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, 72461180 + ... + 74126139.

It is an arithmetic number, because the mean of its divisors is an integer number (2251801116180).

Almost surely, 2^{122031011321120} is an apocalyptic number.

122031011321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122031011321120 is an abundant number, since it is smaller than the sum of its proper divisors (202228349408800).

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

122031011321120 is a wasteful number, since it uses less digits than its factorization.

122031011321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146587399 (or 146587380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122031011321120 its reverse (21123110130221), we get a palindrome (143154121451341).

The spelling of 122031011321120 in words is "one hundred twenty-two trillion, thirty-one billion, eleven million, three hundred twenty-one thousand, one hundred twenty".