220320321312000 has 864 divisors, whose sum is σ = 916753111432704. Its totient is φ = 46485153792000.

The previous prime is 220320321311947. The next prime is 220320321312031. The reversal of 220320321312000 is 213123023022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 59350585 + ... + 62953415.

It is an arithmetic number, because the mean of its divisors is an integer number (1061056841936).

Almost surely, 2^{220320321312000} is an apocalyptic number.

220320321312000 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 220320321312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458376555716352).

220320321312000 is an abundant number, since it is smaller than the sum of its proper divisors (696432790120704).

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

220320321312000 is a wasteful number, since it uses less digits than its factorization.

220320321312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602892 (or 3602861 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220320321312000 its reverse (213123023022), we get a palindrome (220533444335022).

The spelling of 220320321312000 in words is "two hundred twenty trillion, three hundred twenty billion, three hundred twenty-one million, three hundred twelve thousand".