112038141600 has 2304 divisors, whose sum is σ = 544285163520. Its totient is φ = 21565440000.

The previous prime is 112038141571. The next prime is 112038141613. The reversal of 112038141600 is 6141830211.

It is a happy number.

112038141600 is a `hidden beast` number, since 1 + 1 + 20 + 38 + 1 + 4 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2113927174 + ... + 2113927226.

It is an arithmetic number, because the mean of its divisors is an integer number (236234880).

Almost surely, 2^112038141600 is an apocalyptic number.

112038141600 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 112038141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272142581760).

112038141600 is an abundant number, since it is smaller than the sum of its proper divisors (432247021920).

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

112038141600 is a wasteful number, since it uses less digits than its factorization.

112038141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 112038141600 its reverse (6141830211), we get a palindrome (118179971811).

The spelling of 112038141600 in words is "one hundred twelve billion, thirty-eight million, one hundred forty-one thousand, six hundred".