122880144 has 80 divisors (see below), whose sum is σ = 339303680. Its totient is φ = 38206080.

The previous prime is 122880139. The next prime is 122880161. The reversal of 122880144 is 441088221.

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, 60099 + ... + 62109.

It is an arithmetic number, because the mean of its divisors is an integer number (4241296).

Almost surely, 2^122880144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122880144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169651840).

122880144 is an abundant number, since it is smaller than the sum of its proper divisors (216423536).

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

122880144 is a wasteful number, since it uses less digits than its factorization.

122880144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 122880144 is about 11085.1316636294. The cubic root of 122880144 is about 497.1573951546.

The spelling of 122880144 in words is "one hundred twenty-two million, eight hundred eighty thousand, one hundred forty-four".