122596416 has 84 divisors (see below), whose sum is σ = 364461552. Its totient is φ = 40860288.

The previous prime is 122596403. The next prime is 122596477. The reversal of 122596416 is 614695221.

122596416 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 9 + 641 + 6 = 666.

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

It is a zygodrome in base 3.

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, 11611 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (4338828).

Almost surely, 2^122596416 is an apocalyptic number.

122596416 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 122596416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182230776).

122596416 is an abundant number, since it is smaller than the sum of its proper divisors (241865136).

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

122596416 is an frugal number, since it uses more digits than its factorization.

122596416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 7888 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 122596416 is about 11072.3265847788. The cubic root of 122596416 is about 496.7744578341.

The spelling of 122596416 in words is "one hundred twenty-two million, five hundred ninety-six thousand, four hundred sixteen".