112414433223312 has 360 divisors, whose sum is σ = 349250514564224. Its totient is φ = 33725704320000.

The previous prime is 112414433223293. The next prime is 112414433223319. The reversal of 112414433223312 is 213322334414211.

112414433223312 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 4 + 4 + 332 + 2 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112414433223319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13192629612 + ... + 13192638132.

Almost surely, 2^{112414433223312} is an apocalyptic number.

112414433223312 is a gapful number since it is divisible by the number (12) 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 112414433223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174625257282112).

112414433223312 is an abundant number, since it is smaller than the sum of its proper divisors (236836081340912).

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

112414433223312 is a wasteful number, since it uses less digits than its factorization.

112414433223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011 (or 15991 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 112414433223312 its reverse (213322334414211), we get a palindrome (325736767637523).

The spelling of 112414433223312 in words is "one hundred twelve trillion, four hundred fourteen billion, four hundred thirty-three million, two hundred twenty-three thousand, three hundred twelve".