122591085120 has 1344 divisors, whose sum is σ = 527379102720. Its totient is φ = 26707968000.

The previous prime is 122591085119. The next prime is 122591085121. The reversal of 122591085120 is 21580195221.

122591085120 is a `hidden beast` number, since 12 + 2 + 591 + 0 + 8 + 51 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122591085119) and next prime (122591085121).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122591085121) 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 191 ways as a sum of consecutive naturals, for example, 1213773070 + ... + 1213773170.

Almost surely, 2^122591085120 is an apocalyptic number.

122591085120 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 122591085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263689551360).

122591085120 is an abundant number, since it is smaller than the sum of its proper divisors (404788017600).

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

122591085120 is a wasteful number, since it uses less digits than its factorization.

122591085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 122591085120 in words is "one hundred twenty-two billion, five hundred ninety-one million, eighty-five thousand, one hundred twenty".