122200213231120 has 80 divisors (see below), whose sum is σ = 286872451398720. Its totient is φ = 48406240783872.

The previous prime is 122200213231013. The next prime is 122200213231133. The reversal of 122200213231120 is 21132312002221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122200213231120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122200213231091 and 122200213231100.

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, 12954739 + ... + 20303341.

It is an arithmetic number, because the mean of its divisors is an integer number (3585905642484).

Almost surely, 2^{122200213231120} is an apocalyptic number.

122200213231120 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 122200213231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143436225699360).

122200213231120 is an abundant number, since it is smaller than the sum of its proper divisors (164672238167600).

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

122200213231120 is a wasteful number, since it uses less digits than its factorization.

122200213231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350632 (or 7350626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122200213231120 its reverse (21132312002221), we get a palindrome (143332525233341).

The spelling of 122200213231120 in words is "one hundred twenty-two trillion, two hundred billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred twenty".