122504880 has 80 divisors (see below), whose sum is σ = 381118464. Its totient is φ = 32551680.

The previous prime is 122504861. The next prime is 122504939. The reversal of 122504880 is 88405221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82545 + ... + 84015.

Almost surely, 2^122504880 is an apocalyptic number.

122504880 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 122504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190559232).

122504880 is an abundant number, since it is smaller than the sum of its proper divisors (258613584).

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

122504880 is a wasteful number, since it uses less digits than its factorization.

122504880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 122504880 is about 11068.1922643221. The cubic root of 122504880 is about 496.6507889964.

The spelling of 122504880 in words is "one hundred twenty-two million, five hundred four thousand, eight hundred eighty".