122405255101200 has 240 divisors, whose sum is σ = 416215619424000. Its totient is φ = 30643933224960.

The previous prime is 122405255101163. The next prime is 122405255101249. The reversal of 122405255101200 is 2101552504221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541801 + ... + 15655799.

It is an arithmetic number, because the mean of its divisors is an integer number (1734231747600).

Almost surely, 2^{122405255101200} is an apocalyptic number.

122405255101200 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 122405255101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208107809712000).

122405255101200 is an abundant number, since it is smaller than the sum of its proper divisors (293810364322800).

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

122405255101200 is a wasteful number, since it uses less digits than its factorization.

122405255101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15114434 (or 15114423 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 122405255101200 in words is "one hundred twenty-two trillion, four hundred five billion, two hundred fifty-five million, one hundred one thousand, two hundred".