122799456 has 216 divisors, whose sum is σ = 401670360. Its totient is φ = 36481536.

The previous prime is 122799437. The next prime is 122799487. The reversal of 122799456 is 654997221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122799456 is a `hidden beast` number, since 122 + 79 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4234450 + ... + 4234478.

It is an arithmetic number, because the mean of its divisors is an integer number (1859585).

Almost surely, 2^122799456 is an apocalyptic number.

122799456 is a gapful number since it is divisible by the number (16) 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 122799456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200835180).

122799456 is an abundant number, since it is smaller than the sum of its proper divisors (278870904).

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

122799456 is a wasteful number, since it uses less digits than its factorization.

122799456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 122799456 is about 11081.4915963511. The cubic root of 122799456 is about 497.0485535411.

The spelling of 122799456 in words is "one hundred twenty-two million, seven hundred ninety-nine thousand, four hundred fifty-six".