122325224436 has 240 divisors, whose sum is σ = 330705864720. Its totient is φ = 39414988800.

The previous prime is 122325224431. The next prime is 122325224443. The reversal of 122325224436 is 634422523221.

122325224436 is a `hidden beast` number, since 122 + 3 + 2 + 522 + 4 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1763496036 + 120561728400 = 41994^2 + 347220^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 122325224436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122325224431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282506076 + ... + 282506508.

It is an arithmetic number, because the mean of its divisors is an integer number (1377941103).

Almost surely, 2^122325224436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122325224436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165352932360).

122325224436 is an abundant number, since it is smaller than the sum of its proper divisors (208380640284).

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

122325224436 is a wasteful number, since it uses less digits than its factorization.

122325224436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 122325224436 its reverse (634422523221), we get a palindrome (756747747657).

The spelling of 122325224436 in words is "one hundred twenty-two billion, three hundred twenty-five million, two hundred twenty-four thousand, four hundred thirty-six".