122885185536 has 448 divisors, whose sum is σ = 389050377600. Its totient is φ = 38805848064.

The previous prime is 122885185523. The next prime is 122885185567. The reversal of 122885185536 is 635581588221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122885185536 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 85 + 1 + 8 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4608000) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6467641335 + ... + 6467641353.

Almost surely, 2^122885185536 is an apocalyptic number.

122885185536 is a gapful number since it is divisible by the number (16) 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 122885185536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194525188800).

122885185536 is an abundant number, since it is smaller than the sum of its proper divisors (266165192064).

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

122885185536 is an frugal number, since it uses more digits than its factorization.

122885185536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 24 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The spelling of 122885185536 in words is "one hundred twenty-two billion, eight hundred eighty-five million, one hundred eighty-five thousand, five hundred thirty-six".