122084508795840 has 672 divisors, whose sum is σ = 441752543732160. Its totient is φ = 31739904000000.

The previous prime is 122084508795793. The next prime is 122084508795869. The reversal of 122084508795840 is 48597805480221.

122084508795840 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 8 + 4 + 508 + 79 + 58 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40681274340 + ... + 40681277340.

Almost surely, 2^{122084508795840} is an apocalyptic number.

122084508795840 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 122084508795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220876271866080).

122084508795840 is an abundant number, since it is smaller than the sum of its proper divisors (319668034936320).

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

122084508795840 is a wasteful number, since it uses less digits than its factorization.

122084508795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 122084508795840 in words is "one hundred twenty-two trillion, eighty-four billion, five hundred eight million, seven hundred ninety-five thousand, eight hundred forty".