112525431012 has 240 divisors, whose sum is σ = 310711040640. Its totient is φ = 35442012672.

The previous prime is 112525431001. The next prime is 112525431019. The reversal of 112525431012 is 210134525211.

It is a happy number.

112525431012 is a `hidden beast` number, since 1 + 12 + 5 + 2 + 543 + 101 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112525431019) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 397616223 + ... + 397616505.

It is an arithmetic number, because the mean of its divisors is an integer number (1294629336).

Almost surely, 2^112525431012 is an apocalyptic number.

112525431012 is a gapful number since it is divisible by the number (12) 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 112525431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155355520320).

112525431012 is an abundant number, since it is smaller than the sum of its proper divisors (198185609628).

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

112525431012 is a wasteful number, since it uses less digits than its factorization.

112525431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 112525431012 its reverse (210134525211), we get a palindrome (322659956223).

The spelling of 112525431012 in words is "one hundred twelve billion, five hundred twenty-five million, four hundred thirty-one thousand, twelve".