112010011200 has 252 divisors, whose sum is σ = 408871701940. Its totient is φ = 29061918720.

The previous prime is 112010011199. The next prime is 112010011411. The reversal of 112010011200 is 2110010211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6364210176 + 105645801024 = 79776^2 + 325032^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427686 + ... + 637914.

Almost surely, 2^112010011200 is an apocalyptic number.

112010011200 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 112010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204435850970).

112010011200 is an abundant number, since it is smaller than the sum of its proper divisors (296861690740).

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

112010011200 is a wasteful number, since it uses less digits than its factorization.

112010011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210294 (or 210276 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112010011200 its reverse (2110010211), we get a palindrome (114120021411).

It can be divided in two parts, 112010011 and 200, that added together give a palindrome (112010211).

The spelling of 112010011200 in words is "one hundred twelve billion, ten million, eleven thousand, two hundred".