122415788851200 has 2280 divisors, whose sum is σ = 497125150145008. Its totient is φ = 29720334827520.

The previous prime is 122415788851163. The next prime is 122415788851247. The reversal of 122415788851200 is 2158887514221.

122415788851200 is a `hidden beast` number, since 1 + 2 + 2 + 41 + 5 + 7 + 8 + 88 + 512 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1676928614364 + ... + 1676928614436.

Almost surely, 2^{122415788851200} is an apocalyptic number.

122415788851200 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 122415788851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248562575072504).

122415788851200 is an abundant number, since it is smaller than the sum of its proper divisors (374709361293808).

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

122415788851200 is an frugal number, since it uses more digits than its factorization.

122415788851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 122415788851200 in words is "one hundred twenty-two trillion, four hundred fifteen billion, seven hundred eighty-eight million, eight hundred fifty-one thousand, two hundred".