122790816 has 72 divisors (see below), whose sum is σ = 362142144. Its totient is φ = 40927680.

The previous prime is 122790809. The next prime is 122790821. The reversal of 122790816 is 618097221.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (5029752).

Almost surely, 2^122790816 is an apocalyptic number.

122790816 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 122790816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181071072).

122790816 is an abundant number, since it is smaller than the sum of its proper divisors (239351328).

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

122790816 is an equidigital number, since it uses as much as digits as its factorization.

122790816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816 (or 15796 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 122790816 is about 11081.1017502774. The cubic root of 122790816 is about 497.0368960513.

The spelling of 122790816 in words is "one hundred twenty-two million, seven hundred ninety thousand, eight hundred sixteen".