122414880 has 96 divisors (see below), whose sum is σ = 440705664. Its totient is φ = 27979776.

The previous prime is 122414867. The next prime is 122414881. The reversal of 122414880 is 88414221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (122414881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14857 + ... + 21576.

It is an arithmetic number, because the mean of its divisors is an integer number (4590684).

Almost surely, 2^122414880 is an apocalyptic number.

122414880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122414880 is an abundant number, since it is smaller than the sum of its proper divisors (318290784).

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

122414880 is a wasteful number, since it uses less digits than its factorization.

122414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36458 (or 36450 counting only the distinct ones).

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

The square root of 122414880 is about 11064.1258127337. The cubic root of 122414880 is about 496.5291352804.

The spelling of 122414880 in words is "one hundred twenty-two million, four hundred fourteen thousand, eight hundred eighty".