122736210768000 has 1024 divisors, whose sum is σ = 478926962841600. Its totient is φ = 30787928064000.

The previous prime is 122736210767987. The next prime is 122736210768019. The reversal of 122736210768000 is 867012637221.

122736210768000 is a `hidden beast` number, since 1 + 227 + 362 + 1 + 0 + 7 + 68 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19615820872 + ... + 19615827128.

It is an arithmetic number, because the mean of its divisors is an integer number (467702112150).

Almost surely, 2^{122736210768000} is an apocalyptic number.

122736210768000 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 122736210768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239463481420800).

122736210768000 is an abundant number, since it is smaller than the sum of its proper divisors (356190752073600).

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

122736210768000 is a wasteful number, since it uses less digits than its factorization.

122736210768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8955 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 122736210768000 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, two hundred ten million, seven hundred sixty-eight thousand".