122568012 has 288 divisors, whose sum is σ = 413683200. Its totient is φ = 31135104.

The previous prime is 122567999. The next prime is 122568023. The reversal of 122568012 is 210865221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2312578 + ... + 2312630.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^122568012 is an apocalyptic number.

122568012 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 122568012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

122568012 is an abundant number, since it is smaller than the sum of its proper divisors (291115188).

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

122568012 is a wasteful number, since it uses less digits than its factorization.

122568012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 122568012 is about 11071.0438532236. The cubic root of 122568012 is about 496.7360894705.

The spelling of 122568012 in words is "one hundred twenty-two million, five hundred sixty-eight thousand, twelve".