220231013323200 has 1512 divisors, whose sum is σ = 856299589318656. Its totient is φ = 49496277811200.

The previous prime is 220231013323147. The next prime is 220231013323207. The reversal of 220231013323200 is 2323310132022.

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 (220231013323207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11246020609 + ... + 11246040191.

Almost surely, 2^{220231013323200} is an apocalyptic number.

220231013323200 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 220231013323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428149794659328).

220231013323200 is an abundant number, since it is smaller than the sum of its proper divisors (636068575995456).

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

220231013323200 is a wasteful number, since it uses less digits than its factorization.

220231013323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19731 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220231013323200 its reverse (2323310132022), we get a palindrome (222554323455222).

The spelling of 220231013323200 in words is "two hundred twenty trillion, two hundred thirty-one billion, thirteen million, three hundred twenty-three thousand, two hundred".