122338496 has 56 divisors (see below), whose sum is σ = 283159200. Its totient is φ = 52421376.

The previous prime is 122338481. The next prime is 122338519. The reversal of 122338496 is 694833221.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19166 + ... + 24738.

Almost surely, 2^122338496 is an apocalyptic number.

122338496 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 122338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141579600).

122338496 is an abundant number, since it is smaller than the sum of its proper divisors (160820704).

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

122338496 is an frugal number, since it uses more digits than its factorization.

122338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5582 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 122338496 is about 11060.6733972213. The cubic root of 122338496 is about 496.4258396334.

The spelling of 122338496 in words is "one hundred twenty-two million, three hundred thirty-eight thousand, four hundred ninety-six".