122716944000 has 1152 divisors, whose sum is σ = 526142373120. Its totient is φ = 27881625600.

The previous prime is 122716943983. The next prime is 122716944019. The reversal of 122716944000 is 449617221.

It is a happy number.

122716944000 is a `hidden beast` number, since 122 + 71 + 69 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 734831917 + ... + 734832083.

It is an arithmetic number, because the mean of its divisors is an integer number (456720810).

Almost surely, 2^122716944000 is an apocalyptic number.

122716944000 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 122716944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263071186560).

122716944000 is an abundant number, since it is smaller than the sum of its proper divisors (403425429120).

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

122716944000 is an frugal number, since it uses more digits than its factorization.

122716944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 122716944000 in words is "one hundred twenty-two billion, seven hundred sixteen million, nine hundred forty-four thousand".