122790864 has 240 divisors, whose sum is σ = 406099008. Its totient is φ = 31739904.

The previous prime is 122790853. The next prime is 122790893. The reversal of 122790864 is 468097221.

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 47 ways as a sum of consecutive naturals, for example, 1479367 + ... + 1479449.

Almost surely, 2^122790864 is an apocalyptic number.

122790864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122790864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203049504).

122790864 is an abundant number, since it is smaller than the sum of its proper divisors (283308144).

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

122790864 is a wasteful number, since it uses less digits than its factorization.

122790864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 122790864 is about 11081.1039161268. The cubic root of 122790864 is about 497.0369608167.

The spelling of 122790864 in words is "one hundred twenty-two million, seven hundred ninety thousand, eight hundred sixty-four".