122403832848000 has 3072 divisors, whose sum is σ = 532453301452800. Its totient is φ = 26597818368000.

The previous prime is 122403832847927. The next prime is 122403832848071. The reversal of 122403832848000 is 848238304221.

122403832848000 is a `hidden beast` number, since 1 + 2 + 240 + 3 + 8 + 328 + 4 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×122403832848000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67144175089 + ... + 67144176911.

It is an arithmetic number, because the mean of its divisors is an integer number (173324642400).

Almost surely, 2^{122403832848000} is an apocalyptic number.

122403832848000 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 122403832848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266226650726400).

122403832848000 is an abundant number, since it is smaller than the sum of its proper divisors (410049468604800).

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

122403832848000 is a wasteful number, since it uses less digits than its factorization.

122403832848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 122403832848000 in words is "one hundred twenty-two trillion, four hundred three billion, eight hundred thirty-two million, eight hundred forty-eight thousand".