122554350450400 has 576 divisors, whose sum is σ = 333977719682880. Its totient is φ = 43542118400000.

The previous prime is 122554350450373. The next prime is 122554350450407. The reversal of 122554350450400 is 4054053455221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122554350450407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50705149992 + ... + 50705152408.

It is an arithmetic number, because the mean of its divisors is an integer number (579822430005).

Almost surely, 2^{122554350450400} is an apocalyptic number.

122554350450400 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 122554350450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166988859841440).

122554350450400 is an abundant number, since it is smaller than the sum of its proper divisors (211423369232480).

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

122554350450400 is a wasteful number, since it uses less digits than its factorization.

122554350450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 122554350450400 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred fifty million, four hundred fifty thousand, four hundred".