112541133700 has 72 divisors (see below), whose sum is σ = 250533980424. Its totient is φ = 43854720000.

The previous prime is 112541133647. The next prime is 112541133707. The reversal of 112541133700 is 7331145211.

It can be written as a sum of positive squares in 12 ways, for example, as 18679782276 + 93861351424 = 136674^2 + 306368^2 .

It is not an unprimeable number, because it can be changed into a prime (112541133707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854522 + ... + 2893678.

It is an arithmetic number, because the mean of its divisors is an integer number (3479638617).

Almost surely, 2^112541133700 is an apocalyptic number.

112541133700 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 112541133700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125266990212).

112541133700 is an abundant number, since it is smaller than the sum of its proper divisors (137992846724).

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

112541133700 is a wasteful number, since it uses less digits than its factorization.

112541133700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39913 (or 39906 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 112541133700 its reverse (7331145211), we get a palindrome (119872278911).

The spelling of 112541133700 in words is "one hundred twelve billion, five hundred forty-one million, one hundred thirty-three thousand, seven hundred".