112300133121000 has 768 divisors, whose sum is σ = 425584337068800. Its totient is φ = 26469068544000.

The previous prime is 112300133120999. The next prime is 112300133121041. The reversal of 112300133121000 is 121331003211.

112300133121000 is a `hidden beast` number, since 1 + 1 + 230 + 0 + 1 + 331 + 2 + 100 + 0 = 666.

It is a super-2 number, since 2×112300133121000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5344306494 + ... + 5344327506.

It is an arithmetic number, because the mean of its divisors is an integer number (554146272225).

Almost surely, 2^{112300133121000} is an apocalyptic number.

112300133121000 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 112300133121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212792168534400).

112300133121000 is an abundant number, since it is smaller than the sum of its proper divisors (313284203947800).

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

112300133121000 is a wasteful number, since it uses less digits than its factorization.

112300133121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22547 (or 22530 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112300133121000 its reverse (121331003211), we get a palindrome (112421464124211).

The spelling of 112300133121000 in words is "one hundred twelve trillion, three hundred billion, one hundred thirty-three million, one hundred twenty-one thousand".