122929120 has 48 divisors (see below), whose sum is σ = 293334048. Its totient is φ = 48678400.

The previous prime is 122929117. The next prime is 122929127. The reversal of 122929120 is 21929221.

It is a super-2 number, since 2×122929120² = 30223137087948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122929127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12357 + ... + 19963.

It is an arithmetic number, because the mean of its divisors is an integer number (6111126).

Almost surely, 2^122929120 is an apocalyptic number.

122929120 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 122929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146667024).

122929120 is an abundant number, since it is smaller than the sum of its proper divisors (170404928).

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

122929120 is a wasteful number, since it uses less digits than its factorization.

122929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 122929120 is about 11087.3405287292. The cubic root of 122929120 is about 497.2234365985.

It can be divided in two parts, 12292 and 9120, that added together give a palindrome (21412).

The spelling of 122929120 in words is "one hundred twenty-two million, nine hundred twenty-nine thousand, one hundred twenty".