223312220100000 has 432 divisors, whose sum is σ = 796620782366136. Its totient is φ = 59334877440000.

The previous prime is 223312220099923. The next prime is 223312220100043. The reversal of 223312220100000 is 1022213322.

223312220100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 63820478067984 + 159491742032016 = 7988772^2 + 12629004^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248852122 + ... + 249747878.

Almost surely, 2^{223312220100000} is an apocalyptic number.

223312220100000 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 223312220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398310391183068).

223312220100000 is an abundant number, since it is smaller than the sum of its proper divisors (573308562266136).

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

223312220100000 is an equidigital number, since it uses as much as digits as its factorization.

223312220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896075 (or 896044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223312220100000 its reverse (1022213322), we get a palindrome (223313242313322).

The spelling of 223312220100000 in words is "two hundred twenty-three trillion, three hundred twelve billion, two hundred twenty million, one hundred thousand".