223211131321200 has 480 divisors, whose sum is σ = 814908171110400. Its totient is φ = 51728570880000.

The previous prime is 223211131321141. The next prime is 223211131321207. The reversal of 223211131321200 is 2123131112322.

It is a super-3 number, since 3×223211131321200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211131321207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35776161 + ... + 41549439.

It is an arithmetic number, because the mean of its divisors is an integer number (1697725356480).

Almost surely, 2^{223211131321200} is an apocalyptic number.

223211131321200 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 223211131321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407454085555200).

223211131321200 is an abundant number, since it is smaller than the sum of its proper divisors (591697039789200).

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

223211131321200 is a wasteful number, since it uses less digits than its factorization.

223211131321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773441 (or 5773430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 223211131321200 its reverse (2123131112322), we get a palindrome (225334262433522).

The spelling of 223211131321200 in words is "two hundred twenty-three trillion, two hundred eleven billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred".