112131312000 has 512 divisors, whose sum is σ = 401975308800. Its totient is φ = 27553996800.

The previous prime is 112131311989. The next prime is 112131312001. The reversal of 112131312000 is 213131211.

It is a happy number.

It is a super-2 number, since 2×112131312000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33742339 + ... + 33745661.

It is an arithmetic number, because the mean of its divisors is an integer number (785108025).

Almost surely, 2^112131312000 is an apocalyptic number.

112131312000 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 112131312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200987654400).

112131312000 is an abundant number, since it is smaller than the sum of its proper divisors (289843996800).

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

112131312000 is a wasteful number, since it uses less digits than its factorization.

112131312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112131312000 its reverse (213131211), we get a palindrome (112344443211).

The spelling of 112131312000 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred twelve thousand".