122401456128000 has 2688 divisors, whose sum is σ = 532242830945280. Its totient is φ = 27518828544000.

The previous prime is 122401456127971. The next prime is 122401456128023. The reversal of 122401456128000 is 821654104221.

122401456128000 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 0 + 14 + 561 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2006581247970 + ... + 2006581248030.

It is an arithmetic number, because the mean of its divisors is an integer number (198007005560).

Almost surely, 2^{122401456128000} is an apocalyptic number.

122401456128000 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 122401456128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266121415472640).

122401456128000 is an abundant number, since it is smaller than the sum of its proper divisors (409841374817280).

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

122401456128000 is an frugal number, since it uses more digits than its factorization.

122401456128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 122401456128000 in words is "one hundred twenty-two trillion, four hundred one billion, four hundred fifty-six million, one hundred twenty-eight thousand".