122078880 has 384 divisors, whose sum is σ = 534159360. Its totient is φ = 25297920.

The previous prime is 122078863. The next prime is 122078923. The reversal of 122078880 is 88870221.

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 63 ways as a sum of consecutive naturals, for example, 332457 + ... + 332823.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^122078880 is an apocalyptic number.

122078880 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 122078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

122078880 is an abundant number, since it is smaller than the sum of its proper divisors (412080480).

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

122078880 is a wasteful number, since it uses less digits than its factorization.

122078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 122078880 is about 11048.9311700273. The cubic root of 122078880 is about 496.0744338518.

The spelling of 122078880 in words is "one hundred twenty-two million, seventy-eight thousand, eight hundred eighty".