122138880 has 144 divisors (see below), whose sum is σ = 413247744. Its totient is φ = 30638080.

The previous prime is 122138879. The next prime is 122138893. The reversal of 122138880 is 88831221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64345 + ... + 66215.

It is an arithmetic number, because the mean of its divisors is an integer number (2869776).

Almost surely, 2^122138880 is an apocalyptic number.

122138880 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 122138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872).

122138880 is an abundant number, since it is smaller than the sum of its proper divisors (291108864).

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

122138880 is a wasteful number, since it uses less digits than its factorization.

122138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 122138880 is about 11051.6460312480. The cubic root of 122138880 is about 496.1556916722.

The spelling of 122138880 in words is "one hundred twenty-two million, one hundred thirty-eight thousand, eight hundred eighty".