122877998400 has 336 divisors, whose sum is σ = 424025860608. Its totient is φ = 31110144000.

The previous prime is 122877998381. The next prime is 122877998449. The reversal of 122877998400 is 4899778221.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 7878610 + ... + 7894190.

It is an arithmetic number, because the mean of its divisors is an integer number (1261981728).

Almost surely, 2^122877998400 is an apocalyptic number.

122877998400 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 122877998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212012930304).

122877998400 is an abundant number, since it is smaller than the sum of its proper divisors (301147862208).

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

122877998400 is a wasteful number, since it uses less digits than its factorization.

122877998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690 (or 15675 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 122877998400 in words is "one hundred twenty-two billion, eight hundred seventy-seven million, nine hundred ninety-eight thousand, four hundred".