122383057104000 has 4608 divisors, whose sum is σ = 580099420293120. Its totient is φ = 24174526464000.

The previous prime is 122383057103987. The next prime is 122383057104001. The reversal of 122383057104000 is 401750383221.

122383057104000 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 83 + 0 + 571 + 0 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×122383057104000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122383057104001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 212102351712 + ... + 212102352288.

It is an arithmetic number, because the mean of its divisors is an integer number (125889631140).

Almost surely, 2^{122383057104000} is an apocalyptic number.

122383057104000 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 122383057104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290049710146560).

122383057104000 is an abundant number, since it is smaller than the sum of its proper divisors (457716363189120).

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

122383057104000 is a wasteful number, since it uses less digits than its factorization.

122383057104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 122383057104000 in words is "one hundred twenty-two trillion, three hundred eighty-three billion, fifty-seven million, one hundred four thousand".