122890080 has 48 divisors (see below), whose sum is σ = 387105264. Its totient is φ = 32770560.

The previous prime is 122890073. The next prime is 122890091. The reversal of 122890080 is 80098221.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 127531 + ... + 128490.

It is an arithmetic number, because the mean of its divisors is an integer number (8064693).

Almost surely, 2^122890080 is an apocalyptic number.

122890080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122890080 is an abundant number, since it is smaller than the sum of its proper divisors (264215184).

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

122890080 is a wasteful number, since it uses less digits than its factorization.

122890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256039 (or 256031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 122890080 is about 11085.5798224540. The cubic root of 122890080 is about 497.1707947231.

The spelling of 122890080 in words is "one hundred twenty-two million, eight hundred ninety thousand, eighty".