122967360 has 84 divisors (see below), whose sum is σ = 422966388. Its totient is φ = 32790528.

The previous prime is 122967353. The next prime is 122967379. The reversal of 122967360 is 63769221.

122967360 is a `hidden beast` number, since 1 + 2 + 296 + 7 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 93547584 = 5424^2 + 9672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18469 + ... + 24228.

Almost surely, 2^122967360 is an apocalyptic number.

122967360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122967360 is an abundant number, since it is smaller than the sum of its proper divisors (299999028).

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

122967360 is a wasteful number, since it uses less digits than its factorization.

122967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42720 (or 42707 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 122967360 is about 11089.0648839296. The cubic root of 122967360 is about 497.2749889429.

The spelling of 122967360 in words is "one hundred twenty-two million, nine hundred sixty-seven thousand, three hundred sixty".