122369868720 has 800 divisors, whose sum is σ = 485351792640. Its totient is φ = 28304640000.

The previous prime is 122369868703. The next prime is 122369868727. The reversal of 122369868720 is 27868963221.

122369868720 is a `hidden beast` number, since 122 + 369 + 86 + 87 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122369868727) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 174564370 + ... + 174565070.

Almost surely, 2^122369868720 is an apocalyptic number.

122369868720 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 122369868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242675896320).

122369868720 is an abundant number, since it is smaller than the sum of its proper divisors (362981923920).

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

122369868720 is a wasteful number, since it uses less digits than its factorization.

122369868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 122369868720 in words is "one hundred twenty-two billion, three hundred sixty-nine million, eight hundred sixty-eight thousand, seven hundred twenty".