220323312000 has 768 divisors, whose sum is σ = 867802291200. Its totient is φ = 53125632000.

The previous prime is 220323311993. The next prime is 220323312017. The reversal of 220323312000 is 213323022.

It is a happy number.

220323312000 is a `hidden beast` number, since 220 + 323 + 3 + 120 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581327811 + ... + 581328189.

It is an arithmetic number, because the mean of its divisors is an integer number (1129950900).

Almost surely, 2^220323312000 is an apocalyptic number.

220323312000 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 220323312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433901145600).

220323312000 is an abundant number, since it is smaller than the sum of its proper divisors (647478979200).

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

220323312000 is a wasteful number, since it uses less digits than its factorization.

220323312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220323312000 its reverse (213323022), we get a palindrome (220536635022).

The spelling of 220323312000 in words is "two hundred twenty billion, three hundred twenty-three million, three hundred twelve thousand".