122880576 has 168 divisors, whose sum is σ = 403091904. Its totient is φ = 32348160.

The previous prime is 122880557. The next prime is 122880577. The reversal of 122880576 is 675088221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (122880577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226866 + ... + 227406.

Almost surely, 2^122880576 is an apocalyptic number.

122880576 is a gapful number since it is divisible by the number (16) 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 122880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201545952).

122880576 is an abundant number, since it is smaller than the sum of its proper divisors (280211328).

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

122880576 is a wasteful number, since it uses less digits than its factorization.

122880576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 122880576 is about 11085.1511491725. The cubic root of 122880576 is about 497.1579777595.

The spelling of 122880576 in words is "one hundred twenty-two million, eight hundred eighty thousand, five hundred seventy-six".