122618880 has 176 divisors, whose sum is σ = 436256640. Its totient is φ = 32661504.

The previous prime is 122618879. The next prime is 122618891. The reversal of 122618880 is 88816221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 137797 + ... + 138683.

Almost surely, 2^122618880 is an apocalyptic number.

122618880 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 122618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218128320).

122618880 is an abundant number, since it is smaller than the sum of its proper divisors (313637760).

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

122618880 is an equidigital number, since it uses as much as digits as its factorization.

122618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122618880 is about 11073.3409592589. The cubic root of 122618880 is about 496.8047981987.

The spelling of 122618880 in words is "one hundred twenty-two million, six hundred eighteen thousand, eight hundred eighty".