122634146400 has 144 divisors (see below), whose sum is σ = 402318249984. Its totient is φ = 32444858880.

The previous prime is 122634146363. The next prime is 122634146449. The reversal of 122634146400 is 4641436221.

It is a happy number.

It is a congruent number.

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, 103629 + ... + 505971.

It is an arithmetic number, because the mean of its divisors is an integer number (2793876736).

Almost surely, 2^122634146400 is an apocalyptic number.

122634146400 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 122634146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201159124992).

122634146400 is an abundant number, since it is smaller than the sum of its proper divisors (279684103584).

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

122634146400 is a wasteful number, since it uses less digits than its factorization.

122634146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402493 (or 402480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 122634146400 in words is "one hundred twenty-two billion, six hundred thirty-four million, one hundred forty-six thousand, four hundred".