122649292800 has 1092 divisors, whose sum is σ = 479581608384. Its totient is φ = 31054233600.

The previous prime is 122649292789. The next prime is 122649292813. The reversal of 122649292800 is 8292946221.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2314137574 + ... + 2314137626.

Almost surely, 2^122649292800 is an apocalyptic number.

122649292800 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 122649292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239790804192).

122649292800 is an abundant number, since it is smaller than the sum of its proper divisors (356932315584).

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

122649292800 is an frugal number, since it uses more digits than its factorization.

122649292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 122649292800 in words is "one hundred twenty-two billion, six hundred forty-nine million, two hundred ninety-two thousand, eight hundred".