122325033600 has 1536 divisors, whose sum is σ = 567520819200. Its totient is φ = 25306214400.

The previous prime is 122325033557. The next prime is 122325033631. The reversal of 122325033600 is 6330523221.

122325033600 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 50 + 3 + 3 + 600 = 666.

It is a super-2 number, since 2×122325033600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 538876687 + ... + 538876913.

It is an arithmetic number, because the mean of its divisors is an integer number (369479700).

Almost surely, 2^122325033600 is an apocalyptic number.

122325033600 is a gapful number since it is divisible by the number (10) 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 122325033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283760409600).

122325033600 is an abundant number, since it is smaller than the sum of its proper divisors (445195785600).

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

122325033600 is an equidigital number, since it uses as much as digits as its factorization.

122325033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 122325033600 its reverse (6330523221), we get a palindrome (128655556821).

The spelling of 122325033600 in words is "one hundred twenty-two billion, three hundred twenty-five million, thirty-three thousand, six hundred".