853238120112 has 480 divisors, whose sum is σ = 2866251548160. Its totient is φ = 240685240320.

The previous prime is 853238120099. The next prime is 853238120123. The reversal of 853238120112 is 211021832358.

853238120112 is a `hidden beast` number, since 8 + 532 + 3 + 8 + 1 + 2 + 0 + 112 = 666.

It is a super-2 number, since 2×853238120112² (a number of 25 digits) contains 22 as substring.

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

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, 1294746439 + ... + 1294747097.

It is an arithmetic number, because the mean of its divisors is an integer number (5971357392).

Almost surely, 2^853238120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853238120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433125774080).

853238120112 is an abundant number, since it is smaller than the sum of its proper divisors (2013013428048).

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

853238120112 is a wasteful number, since it uses less digits than its factorization.

853238120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 853238120112 in words is "eight hundred fifty-three billion, two hundred thirty-eight million, one hundred twenty thousand, one hundred twelve".