223233323112000 has 280 divisors, whose sum is σ = 825843413349240. Its totient is φ = 59528885990400.

The previous prime is 223233323111993. The next prime is 223233323112013. The reversal of 223233323112000 is 211323332322.

223233323112000 is a `hidden beast` number, since 2 + 2 + 323 + 3 + 3 + 2 + 311 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8216615863296 + 215016707248704 = 2866464^2 + 14663448^2 .

It is a super-3 number, since 3×223233323112000³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171599935 + ... + 172895934.

Almost surely, 2^{223233323112000} is an apocalyptic number.

223233323112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223233323112000 is an abundant number, since it is smaller than the sum of its proper divisors (602610090237240).

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

223233323112000 is an equidigital number, since it uses as much as digits as its factorization.

223233323112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344495908 (or 344495879 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 223233323112000 its reverse (211323332322), we get a palindrome (223444646444322).

The spelling of 223233323112000 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, three hundred twenty-three million, one hundred twelve thousand".