112541146200 has 768 divisors, whose sum is σ = 462168038400. Its totient is φ = 24634368000.

The previous prime is 112541146183. The next prime is 112541146219. The reversal of 112541146200 is 2641145211.

112541146200 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 411 + 46 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93705600 + ... + 93706800.

It is an arithmetic number, because the mean of its divisors is an integer number (601781300).

Almost surely, 2^112541146200 is an apocalyptic number.

112541146200 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 112541146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231084019200).

112541146200 is an abundant number, since it is smaller than the sum of its proper divisors (349626892200).

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

112541146200 is a wasteful number, since it uses less digits than its factorization.

112541146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 112541146200 in words is "one hundred twelve billion, five hundred forty-one million, one hundred forty-six thousand, two hundred".