223112133000000 has 294 divisors, whose sum is σ = 799378106462078. Its totient is φ = 59496566400000.

The previous prime is 223112132999963. The next prime is 223112133000011. The reversal of 223112133000000 is 331211322.

223112133000000 is a `hidden beast` number, since 2 + 2 + 311 + 21 + 330 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 221090253762816 + 2021879237184 = 14869104^2 + 1421928^2 .

It is a super-3 number, since 3×223112133000000³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3395119 + ... + 21395118.

Almost surely, 2^{223112133000000} is an apocalyptic number.

223112133000000 is a gapful number since it is divisible by the number (20) 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 223112133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399689053231039).

223112133000000 is an abundant number, since it is smaller than the sum of its proper divisors (576265973462078).

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

223112133000000 is an frugal number, since it uses more digits than its factorization.

223112133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24790285 (or 24790247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223112133000000 its reverse (331211322), we get a palindrome (223112464211322).

The spelling of 223112133000000 in words is "two hundred twenty-three trillion, one hundred twelve billion, one hundred thirty-three million", and thus it is an aban number.