122368512 has 160 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 33067008.

The previous prime is 122368471. The next prime is 122368549. The reversal of 122368512 is 215863221.

It is a self number, because there is not a number n which added to its sum of digits gives 122368512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203989 + ... + 204587.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^122368512 is an apocalyptic number.

122368512 is a gapful number since it is divisible by the number (12) 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 122368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

122368512 is an abundant number, since it is smaller than the sum of its proper divisors (270463488).

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

122368512 is an equidigital number, since it uses as much as digits as its factorization.

122368512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 122368512 is about 11062.0301934139. The cubic root of 122368512 is about 496.4664360115.

The spelling of 122368512 in words is "one hundred twenty-two million, three hundred sixty-eight thousand, five hundred twelve".