122814252 has 96 divisors (see below), whose sum is σ = 365702400. Its totient is φ = 35251200.

The previous prime is 122814247. The next prime is 122814253. The reversal of 122814252 is 252418221.

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

It is not an unprimeable number, because it can be changed into a prime (122814253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19852 + ... + 25292.

It is an arithmetic number, because the mean of its divisors is an integer number (3809400).

Almost surely, 2^122814252 is an apocalyptic number.

122814252 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 122814252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182851200).

122814252 is an abundant number, since it is smaller than the sum of its proper divisors (242888148).

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

122814252 is a wasteful number, since it uses less digits than its factorization.

122814252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5476 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 122814252 is about 11082.1591759007. The cubic root of 122814252 is about 497.0685157225.

The spelling of 122814252 in words is "one hundred twenty-two million, eight hundred fourteen thousand, two hundred fifty-two".