122927120 has 20 divisors (see below), whose sum is σ = 285805740. Its totient is φ = 49170816.

The previous prime is 122927113. The next prime is 122927171. The reversal of 122927120 is 21729221.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 110082064 = 3584^2 + 10492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×122927120² = 30222153662988800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122927120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 768215 + ... + 768374.

It is an arithmetic number, because the mean of its divisors is an integer number (14290287).

Almost surely, 2^122927120 is an apocalyptic number.

122927120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122927120 is an abundant number, since it is smaller than the sum of its proper divisors (162878620).

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

122927120 is a wasteful number, since it uses less digits than its factorization.

122927120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536602 (or 1536596 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 122927120 is about 11087.2503354078. The cubic root of 122927120 is about 497.2207400520.

The spelling of 122927120 in words is "one hundred twenty-two million, nine hundred twenty-seven thousand, one hundred twenty".