122102641704960 has 2160 divisors, whose sum is σ = 510442044368256. Its totient is φ = 26903250468864.

The previous prime is 122102641704929. The next prime is 122102641705061. The reversal of 122102641704960 is 69407146201221.

122102641704960 is a `hidden beast` number, since 1 + 2 + 210 + 264 + 170 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×122102641704960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128936263207 + ... + 128936264153.

Almost surely, 2^{122102641704960} is an apocalyptic number.

122102641704960 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 122102641704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255221022184128).

122102641704960 is an abundant number, since it is smaller than the sum of its proper divisors (388339402663296).

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

122102641704960 is an equidigital number, since it uses as much as digits as its factorization.

122102641704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 122102641704960 in words is "one hundred twenty-two trillion, one hundred two billion, six hundred forty-one million, seven hundred four thousand, nine hundred sixty".