122142880 has 48 divisors (see below), whose sum is σ = 301117824. Its totient is φ = 46731520.

The previous prime is 122142869. The next prime is 122142907. The reversal of 122142880 is 88241221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12916 + ... + 20275.

It is an arithmetic number, because the mean of its divisors is an integer number (6273288).

Almost surely, 2^122142880 is an apocalyptic number.

122142880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142880 is an abundant number, since it is smaller than the sum of its proper divisors (178974944).

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

122142880 is a wasteful number, since it uses less digits than its factorization.

122142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33229 (or 33221 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 122142880 is about 11051.8269982840. The cubic root of 122142880 is about 496.1611079139.

The spelling of 122142880 in words is "one hundred twenty-two million, one hundred forty-two thousand, eight hundred eighty".