112525524012000 has 384 divisors, whose sum is σ = 402184773559296. Its totient is φ = 27276268800000.

The previous prime is 112525524011993. The next prime is 112525524012037. The reversal of 112525524012000 is 210425525211.

112525524012000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112525524012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593336690 + ... + 1593407310.

It is an arithmetic number, because the mean of its divisors is an integer number (1047356181144).

Almost surely, 2^{112525524012000} is an apocalyptic number.

112525524012000 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 112525524012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201092386779648).

112525524012000 is an abundant number, since it is smaller than the sum of its proper divisors (289659249547296).

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

112525524012000 is a wasteful number, since it uses less digits than its factorization.

112525524012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82731 (or 82713 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 112525524012000 its reverse (210425525211), we get a palindrome (112735949537211).

The spelling of 112525524012000 in words is "one hundred twelve trillion, five hundred twenty-five billion, five hundred twenty-four million, twelve thousand".