122086298880 has 1296 divisors, whose sum is σ = 537405732864. Its totient is φ = 25360957440.

The previous prime is 122086298861. The next prime is 122086298903. The reversal of 122086298880 is 88892680221.

It is a happy number.

122086298880 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 8 + 629 + 8 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 931956415 + ... + 931956545.

Almost surely, 2^122086298880 is an apocalyptic number.

122086298880 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 122086298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268702866432).

122086298880 is an abundant number, since it is smaller than the sum of its proper divisors (415319433984).

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

122086298880 is a wasteful number, since it uses less digits than its factorization.

122086298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 122086298880 in words is "one hundred twenty-two billion, eighty-six million, two hundred ninety-eight thousand, eight hundred eighty".