111252233613312 has 312 divisors, whose sum is σ = 350612706637440. Its totient is φ = 33708720291840.

The previous prime is 111252233613263. The next prime is 111252233613319. The reversal of 111252233613312 is 213316332252111.

111252233613312 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 2 + 2 + 3 + 3 + 613 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111252233613319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6328692139 + ... + 6328709717.

It is an arithmetic number, because the mean of its divisors is an integer number (1123758675120).

Almost surely, 2^{111252233613312} is an apocalyptic number.

111252233613312 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 111252233613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175306353318720).

111252233613312 is an abundant number, since it is smaller than the sum of its proper divisors (239360473024128).

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

111252233613312 is a wasteful number, since it uses less digits than its factorization.

111252233613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33227 (or 33202 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 111252233613312 its reverse (213316332252111), we get a palindrome (324568565865423).

The spelling of 111252233613312 in words is "one hundred eleven trillion, two hundred fifty-two billion, two hundred thirty-three million, six hundred thirteen thousand, three hundred twelve".