122880096 has 72 divisors (see below), whose sum is σ = 352215864. Its totient is φ = 40634880.

The previous prime is 122880083. The next prime is 122880101. The reversal of 122880096 is 690088221.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122880096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36100 + ... + 39356.

It is an arithmetic number, because the mean of its divisors is an integer number (4891887).

Almost surely, 2^122880096 is an apocalyptic number.

122880096 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 122880096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176107932).

122880096 is an abundant number, since it is smaller than the sum of its proper divisors (229335768).

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

122880096 is a wasteful number, since it uses less digits than its factorization.

122880096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 122880096 is about 11085.1294985670. The cubic root of 122880096 is about 497.1573304206.

The spelling of 122880096 in words is "one hundred twenty-two million, eight hundred eighty thousand, ninety-six".