122551466400 has 576 divisors, whose sum is σ = 485068953600. Its totient is φ = 29614464000.

The previous prime is 122551466393. The next prime is 122551466419. The reversal of 122551466400 is 4664155221.

122551466400 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 1 + 4 + 6 + 640 + 0 = 666.

122551466400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 99553785 + ... + 99555015.

It is an arithmetic number, because the mean of its divisors is an integer number (842133600).

Almost surely, 2^122551466400 is an apocalyptic number.

122551466400 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 122551466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242534476800).

122551466400 is an abundant number, since it is smaller than the sum of its proper divisors (362517487200).

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

122551466400 is a wasteful number, since it uses less digits than its factorization.

122551466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 122551466400 in words is "one hundred twenty-two billion, five hundred fifty-one million, four hundred sixty-six thousand, four hundred".