122565852 has 96 divisors (see below), whose sum is σ = 339071040. Its totient is φ = 38154240.

The previous prime is 122565841. The next prime is 122565857. The reversal of 122565852 is 258565221.

It is a happy number.

122565852 is a `hidden beast` number, since 1 + 22 + 56 + 585 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122565857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442338 + ... + 442614.

It is an arithmetic number, because the mean of its divisors is an integer number (3531990).

Almost surely, 2^122565852 is an apocalyptic number.

122565852 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 122565852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169535520).

122565852 is an abundant number, since it is smaller than the sum of its proper divisors (216505188).

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

122565852 is a wasteful number, since it uses less digits than its factorization.

122565852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 122565852 is about 11070.9463010169. The cubic root of 122565852 is about 496.7331714817.

The spelling of 122565852 in words is "one hundred twenty-two million, five hundred sixty-five thousand, eight hundred fifty-two".