122399741520000 has 2560 divisors, whose sum is σ = 526763381760000. Its totient is φ = 27737178624000.

The previous prime is 122399741519987. The next prime is 122399741520019. The reversal of 122399741520000 is 25147993221.

122399741520000 is a `hidden beast` number, since 1 + 2 + 2 + 39 + 97 + 4 + 1 + 520 + 0 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 170236079641 + ... + 170236080359.

It is an arithmetic number, because the mean of its divisors is an integer number (205766946000).

Almost surely, 2^{122399741520000} is an apocalyptic number.

122399741520000 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 122399741520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263381690880000).

122399741520000 is an abundant number, since it is smaller than the sum of its proper divisors (404363640240000).

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

122399741520000 is an frugal number, since it uses more digits than its factorization.

122399741520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 122399741520000 in words is "one hundred twenty-two trillion, three hundred ninety-nine billion, seven hundred forty-one million, five hundred twenty thousand".