122618983417600 has 216 divisors, whose sum is σ = 309989578772160. Its totient is φ = 47999232245760.

The previous prime is 122618983417519. The next prime is 122618983417607. The reversal of 122618983417600 is 6714389816221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122618983417607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5332871704 + ... + 5332894696.

It is an arithmetic number, because the mean of its divisors is an integer number (1435136938760).

Almost surely, 2^{122618983417600} is an apocalyptic number.

122618983417600 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 122618983417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154994789386080).

122618983417600 is an abundant number, since it is smaller than the sum of its proper divisors (187370595354560).

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

122618983417600 is a wasteful number, since it uses less digits than its factorization.

122618983417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40795 (or 40776 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 122618983417600 in words is "one hundred twenty-two trillion, six hundred eighteen billion, nine hundred eighty-three million, four hundred seventeen thousand, six hundred".