221223332023200 has 1008 divisors, whose sum is σ = 895576988138616. Its totient is φ = 52983150796800.

The previous prime is 221223332023181. The next prime is 221223332023247. The reversal of 221223332023200 is 2320233322122.

221223332023200 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 3 + 332 + 0 + 2 + 320 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15119063528976 + 206104268494224 = 3888324^2 + 14356332^2 .

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 167 ways as a sum of consecutive naturals, for example, 280124890 + ... + 280913510.

Almost surely, 2^{221223332023200} is an apocalyptic number.

221223332023200 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 221223332023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447788494069308).

221223332023200 is an abundant number, since it is smaller than the sum of its proper divisors (674353656115416).

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

221223332023200 is a wasteful number, since it uses less digits than its factorization.

221223332023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788709 (or 788681 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 221223332023200 its reverse (2320233322122), we get a palindrome (223543565345322).

The spelling of 221223332023200 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, three hundred thirty-two million, twenty-three thousand, two hundred".