110011233312 has 72 divisors (see below), whose sum is σ = 321299731116. Its totient is φ = 35679315456.

The previous prime is 110011233307. The next prime is 110011233313. The reversal of 110011233312 is 213332110011.

110011233312 is a `hidden beast` number, since 110 + 0 + 11 + 233 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99353561616 + 10657671696 = 315204^2 + 103236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×110011233312³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110011233313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5151283 + ... + 5172594.

Almost surely, 2^110011233312 is an apocalyptic number.

110011233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110011233312 is an abundant number, since it is smaller than the sum of its proper divisors (211288497804).

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

110011233312 is a wasteful number, since it uses less digits than its factorization.

110011233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323930 (or 10323919 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110011233312 its reverse (213332110011), we get a palindrome (323343343323).

The spelling of 110011233312 in words is "one hundred ten billion, eleven million, two hundred thirty-three thousand, three hundred twelve".