112011112000 has 56 divisors (see below), whose sum is σ = 277395538680. Its totient is φ = 44804441600.

The previous prime is 112011111991. The next prime is 112011112009. The reversal of 112011112000 is 211110211.

It is an interprime number because it is at equal distance from previous prime (112011111991) and next prime (112011112009).

It can be written as a sum of positive squares in 4 ways, for example, as 8666865216 + 103344246784 = 93096^2 + 321472^2 .

It is a super-2 number, since 2×112011112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112011112009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6992695 + ... + 7008694.

Almost surely, 2^112011112000 is an apocalyptic number.

112011112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011112000 is an abundant number, since it is smaller than the sum of its proper divisors (165384426680).

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

112011112000 is an equidigital number, since it uses as much as digits as its factorization.

112011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001416 (or 14001396 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112011112000 its reverse (211110211), we get a palindrome (112222222211).

The spelling of 112011112000 in words is "one hundred twelve billion, eleven million, one hundred twelve thousand".