122650334400 has 336 divisors, whose sum is σ = 453143282688. Its totient is φ = 28773888000.

The previous prime is 122650334371. The next prime is 122650334453. The reversal of 122650334400 is 4433056221.

122650334400 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 (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, 1599334 + ... + 1674266.

Almost surely, 2^122650334400 is an apocalyptic number.

122650334400 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 122650334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226571641344).

122650334400 is an abundant number, since it is smaller than the sum of its proper divisors (330492948288).

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

122650334400 is a wasteful number, since it uses less digits than its factorization.

122650334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000 (or 74985 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 122650334400 in words is "one hundred twenty-two billion, six hundred fifty million, three hundred thirty-four thousand, four hundred".