11333312312112 has 400 divisors, whose sum is σ = 38061121646592. Its totient is φ = 3188683169280.

The previous prime is 11333312312087. The next prime is 11333312312141. The reversal of 11333312312112 is 21121321333311.

11333312312112 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 331 + 2 + 312 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 564876193 + ... + 564896255.

Almost surely, 2^{11333312312112} is an apocalyptic number.

11333312312112 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 11333312312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030560823296).

11333312312112 is an abundant number, since it is smaller than the sum of its proper divisors (26727809334480).

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

11333312312112 is a wasteful number, since it uses less digits than its factorization.

11333312312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038 (or 21023 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11333312312112 its reverse (21121321333311), we get a palindrome (32454633645423).

It can be divided in two parts, 1133331 and 2312112, that added together give a palindrome (3445443).

The spelling of 11333312312112 in words is "eleven trillion, three hundred thirty-three billion, three hundred twelve million, three hundred twelve thousand, one hundred twelve".