122838120 has 160 divisors (see below), whose sum is σ = 426539520. Its totient is φ = 31674240.

The previous prime is 122838071. The next prime is 122838137. The reversal of 122838120 is 21838221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99829 + ... + 101051.

It is an arithmetic number, because the mean of its divisors is an integer number (2665872).

Almost surely, 2^122838120 is an apocalyptic number.

122838120 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 122838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213269760).

122838120 is an abundant number, since it is smaller than the sum of its proper divisors (303701400).

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

122838120 is a wasteful number, since it uses less digits than its factorization.

122838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122838120 is about 11083.2359895475. The cubic root of 122838120 is about 497.1007141106.

The spelling of 122838120 in words is "one hundred twenty-two million, eight hundred thirty-eight thousand, one hundred twenty".