112300020000 has 720 divisors, whose sum is σ = 473107707072. Its totient is φ = 25660800000.

The previous prime is 112300019983. The next prime is 112300020043. The reversal of 112300020000 is 20003211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×112300020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34018350 + ... + 34021650.

Almost surely, 2^112300020000 is an apocalyptic number.

112300020000 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 112300020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236553853536).

112300020000 is an abundant number, since it is smaller than the sum of its proper divisors (360807687072).

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

112300020000 is an frugal number, since it uses more digits than its factorization.

112300020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 112300020000 its reverse (20003211), we get a palindrome (112320023211).

The spelling of 112300020000 in words is "one hundred twelve billion, three hundred million, twenty thousand".