122013120 has 112 divisors (see below), whose sum is σ = 390448800. Its totient is φ = 32280576.

The previous prime is 122013119. The next prime is 122013163. The reversal of 122013120 is 21310221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122013096 and 122013105.

It is a congruent number.

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, 142614 + ... + 143466.

It is an arithmetic number, because the mean of its divisors is an integer number (3486150).

Almost surely, 2^122013120 is an apocalyptic number.

122013120 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 122013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195224400).

122013120 is an abundant number, since it is smaller than the sum of its proper divisors (268435680).

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

122013120 is a wasteful number, since it uses less digits than its factorization.

122013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122013120 is about 11045.9549157146. The cubic root of 122013120 is about 495.9853446936.

Adding to 122013120 its reverse (21310221), we get a palindrome (143323341).

The spelling of 122013120 in words is "one hundred twenty-two million, thirteen thousand, one hundred twenty".