122714473390080 has 2688 divisors, whose sum is σ = 490642089315840. Its totient is φ = 25956738662400.

The previous prime is 122714473390057. The next prime is 122714473390097. The reversal of 122714473390080 is 80093374417221.

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 191 ways as a sum of consecutive naturals, for example, 2853824962539 + ... + 2853824962581.

It is an arithmetic number, because the mean of its divisors is an integer number (182530539180).

Almost surely, 2^{122714473390080} is an apocalyptic number.

122714473390080 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 122714473390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245321044657920).

122714473390080 is an abundant number, since it is smaller than the sum of its proper divisors (367927615925760).

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

122714473390080 is an equidigital number, since it uses as much as digits as its factorization.

122714473390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 122714473390080 in words is "one hundred twenty-two trillion, seven hundred fourteen billion, four hundred seventy-three million, three hundred ninety thousand, eighty".