122733705600 has 768 divisors, whose sum is σ = 495852192000. Its totient is φ = 29399040000.

The previous prime is 122733705599. The next prime is 122733705613. The reversal of 122733705600 is 6507337221.

122733705600 is a `hidden beast` number, since 1 + 2 + 27 + 3 + 3 + 70 + 560 + 0 = 666.

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

It is a congruent number.

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, 84584875 + ... + 84586325.

It is an arithmetic number, because the mean of its divisors is an integer number (645640875).

Almost surely, 2^122733705600 is an apocalyptic number.

122733705600 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 122733705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247926096000).

122733705600 is an abundant number, since it is smaller than the sum of its proper divisors (373118486400).

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

122733705600 is a wasteful number, since it uses less digits than its factorization.

122733705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 122733705600 in words is "one hundred twenty-two billion, seven hundred thirty-three million, seven hundred five thousand, six hundred".