122616896 has 56 divisors (see below), whose sum is σ = 252703584. Its totient is φ = 58987520.

The previous prime is 122616883. The next prime is 122616943. The reversal of 122616896 is 698616221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217511 + ... + 218073.

It is an arithmetic number, because the mean of its divisors is an integer number (4512564).

Almost surely, 2^122616896 is an apocalyptic number.

122616896 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 122616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126351792).

122616896 is an abundant number, since it is smaller than the sum of its proper divisors (130086688).

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

122616896 is an equidigital number, since it uses as much as digits as its factorization.

122616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 122616896 is about 11073.2513743706. The cubic root of 122616896 is about 496.8021187145.

The spelling of 122616896 in words is "one hundred twenty-two million, six hundred sixteen thousand, eight hundred ninety-six".