122421776800 has 144 divisors (see below), whose sum is σ = 302443314264. Its totient is φ = 48384000000.

The previous prime is 122421776777. The next prime is 122421776863. The reversal of 122421776800 is 8677124221.

It can be written as a sum of positive squares in 12 ways, for example, as 14593606416 + 107828170384 = 120804^2 + 328372^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48559540 + ... + 48562060.

Almost surely, 2^122421776800 is an apocalyptic number.

122421776800 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 122421776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151221657132).

122421776800 is an abundant number, since it is smaller than the sum of its proper divisors (180021537464).

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

122421776800 is a wasteful number, since it uses less digits than its factorization.

122421776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 122421776800 in words is "one hundred twenty-two billion, four hundred twenty-one million, seven hundred seventy-six thousand, eight hundred".