122680254400 has 252 divisors, whose sum is σ = 343264982760. Its totient is φ = 43070720000.

The previous prime is 122680254383. The next prime is 122680254409. The reversal of 122680254400 is 4452086221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122680254409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5603475 + ... + 5625325.

It is an arithmetic number, because the mean of its divisors is an integer number (1362162630).

Almost surely, 2^122680254400 is an apocalyptic number.

122680254400 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 122680254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171632491380).

122680254400 is an abundant number, since it is smaller than the sum of its proper divisors (220584728360).

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

122680254400 is a wasteful number, since it uses less digits than its factorization.

122680254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21924 (or 21898 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 122680254400 in words is "one hundred twenty-two billion, six hundred eighty million, two hundred fifty-four thousand, four hundred".