122783367715008 has 672 divisors, whose sum is σ = 459279900092160. Its totient is φ = 28423437557760.

The previous prime is 122783367715007. The next prime is 122783367715039. The reversal of 122783367715008 is 800517763387221.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (122783367715007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37441435 + ... + 40588517.

It is an arithmetic number, because the mean of its divisors is an integer number (683452232280).

Almost surely, 2^{122783367715008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122783367715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229639950046080).

122783367715008 is an abundant number, since it is smaller than the sum of its proper divisors (336496532377152).

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

122783367715008 is a wasteful number, since it uses less digits than its factorization.

122783367715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147165 (or 3147148 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 122783367715008 in words is "one hundred twenty-two trillion, seven hundred eighty-three billion, three hundred sixty-seven million, seven hundred fifteen thousand, eight".