112013040000 has 320 divisors, whose sum is σ = 375561719280. Its totient is φ = 29568000000.

The previous prime is 112013039993. The next prime is 112013040011. The reversal of 112013040000 is 40310211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×112013040000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24237690 + ... + 24242310.

Almost surely, 2^112013040000 is an apocalyptic number.

112013040000 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 112013040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187780859640).

112013040000 is an abundant number, since it is smaller than the sum of its proper divisors (263548679280).

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

112013040000 is an equidigital number, since it uses as much as digits as its factorization.

112013040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112013040000 its reverse (40310211), we get a palindrome (112053350211).

The spelling of 112013040000 in words is "one hundred twelve billion, thirteen million, forty thousand".