112300100000 has 216 divisors, whose sum is σ = 303784767468. Its totient is φ = 40832000000.

The previous prime is 112300099997. The next prime is 112300100009. The reversal of 112300100000 is 1003211.

It can be written as a sum of positive squares in 6 ways, for example, as 1855541776 + 110444558224 = 43076^2 + 332332^2 .

It is a super-2 number, since 2×112300100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (112300100009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12095360 + ... + 12104640.

Almost surely, 2^112300100000 is an apocalyptic number.

112300100000 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 112300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151892383734).

112300100000 is an abundant number, since it is smaller than the sum of its proper divisors (191484667468).

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

112300100000 is an frugal number, since it uses more digits than its factorization.

112300100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 112300100000 its reverse (1003211), we get a palindrome (112301103211).

The spelling of 112300100000 in words is "one hundred twelve billion, three hundred million, one hundred thousand".