122152080 has 80 divisors (see below), whose sum is σ = 395153280. Its totient is φ = 31156224.

The previous prime is 122152061. The next prime is 122152081. The reversal of 122152080 is 80251221.

It is a happy number.

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

It is a super-2 number, since 2×122152080² = 29842261296652800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122152081) by changing a digit.

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, 5545 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (4939416).

Almost surely, 2^122152080 is an apocalyptic number.

122152080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122152080 is an abundant number, since it is smaller than the sum of its proper divisors (273001200).

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

122152080 is a wasteful number, since it uses less digits than its factorization.

122152080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22168 (or 22162 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 122152080 is about 11052.2432112219. The cubic root of 122152080 is about 496.1735648212.

It can be divided in two parts, 1221 and 52080, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 122152080 in words is "one hundred twenty-two million, one hundred fifty-two thousand, eighty".