112312834200 has 480 divisors, whose sum is σ = 469277107200. Its totient is φ = 24319906560.

The previous prime is 112312834141. The next prime is 112312834201. The reversal of 112312834200 is 2438213211.

112312834200 is a `hidden beast` number, since 1 + 1 + 2 + 312 + 8 + 342 + 0 + 0 = 666.

It is a super-2 number, since 2×112312834200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112312834201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2128537 + ... + 2180663.

It is an arithmetic number, because the mean of its divisors is an integer number (977660640).

Almost surely, 2^112312834200 is an apocalyptic number.

112312834200 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 112312834200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234638553600).

112312834200 is an abundant number, since it is smaller than the sum of its proper divisors (356964273000).

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

112312834200 is a wasteful number, since it uses less digits than its factorization.

112312834200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52181 (or 52163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 112312834200 in words is "one hundred twelve billion, three hundred twelve million, eight hundred thirty-four thousand, two hundred".