112311121312 has 144 divisors (see below), whose sum is σ = 252684321120. Its totient is φ = 48980505600.

The previous prime is 112311121301. The next prime is 112311121319. The reversal of 112311121312 is 213121113211.

It is a super-2 number, since 2×112311121312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 112311121312.

It is not an unprimeable number, because it can be changed into a prime (112311121319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47367487 + ... + 47369857.

It is an arithmetic number, because the mean of its divisors is an integer number (1754752230).

Almost surely, 2^112311121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112311121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126342160560).

112311121312 is an abundant number, since it is smaller than the sum of its proper divisors (140373199808).

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

112311121312 is a wasteful number, since it uses less digits than its factorization.

112311121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2866 counting only the distinct ones).

The product of its digits is 72, while the sum is 19.

Adding to 112311121312 its reverse (213121113211), we get a palindrome (325432234523).

The spelling of 112311121312 in words is "one hundred twelve billion, three hundred eleven million, one hundred twenty-one thousand, three hundred twelve".