122966620732800 has 960 divisors, whose sum is σ = 490710510850560. Its totient is φ = 30142911283200.

The previous prime is 122966620732789. The next prime is 122966620732841. The reversal of 122966620732800 is 8237026669221.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 811997889 + ... + 812149311.

It is an arithmetic number, because the mean of its divisors is an integer number (511156782136).

Almost surely, 2^{122966620732800} is an apocalyptic number.

122966620732800 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 122966620732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245355255425280).

122966620732800 is an abundant number, since it is smaller than the sum of its proper divisors (367743890117760).

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

122966620732800 is a wasteful number, since it uses less digits than its factorization.

122966620732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151713 (or 151687 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 122966620732800 in words is "one hundred twenty-two trillion, nine hundred sixty-six billion, six hundred twenty million, seven hundred thirty-two thousand, eight hundred".