122910816 has 288 divisors, whose sum is σ = 418854240. Its totient is φ = 31309824.

The previous prime is 122910811. The next prime is 122910817. The reversal of 122910816 is 618019221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122910811) by changing a digit.

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, 2319046 + ... + 2319098.

It is an arithmetic number, because the mean of its divisors is an integer number (1454355).

Almost surely, 2^122910816 is an apocalyptic number.

122910816 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 122910816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209427120).

122910816 is an abundant number, since it is smaller than the sum of its proper divisors (295943424).

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

122910816 is a wasteful number, since it uses less digits than its factorization.

122910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 122910816 is about 11086.5150520802. The cubic root of 122910816 is about 497.1987567138.

The spelling of 122910816 in words is "one hundred twenty-two million, nine hundred ten thousand, eight hundred sixteen".