122149944000 has 840 divisors, whose sum is σ = 525803664672. Its totient is φ = 27912729600.

The previous prime is 122149943983. The next prime is 122149944023. The reversal of 122149944000 is 449941221.

122149944000 is a `hidden beast` number, since 1 + 22 + 149 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31750077 + ... + 31753923.

Almost surely, 2^122149944000 is an apocalyptic number.

122149944000 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 122149944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262901832336).

122149944000 is an abundant number, since it is smaller than the sum of its proper divisors (403653720672).

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

122149944000 is an equidigital number, since it uses as much as digits as its factorization.

122149944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 122149944000 in words is "one hundred twenty-two billion, one hundred forty-nine million, nine hundred forty-four thousand".