220003312320000 has 600 divisors, whose sum is σ = 865556406257400. Its totient is φ = 53334128640000.

The previous prime is 220003312319993. The next prime is 220003312320097. The reversal of 220003312320000 is 23213300022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 28207726 + ... + 35152274.

It is an arithmetic number, because the mean of its divisors is an integer number (1442594010429).

Almost surely, 2^{220003312320000} is an apocalyptic number.

220003312320000 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 220003312320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432778203128700).

220003312320000 is an abundant number, since it is smaller than the sum of its proper divisors (645553093937400).

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

220003312320000 is an equidigital number, since it uses as much as digits as its factorization.

220003312320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944604 (or 6944570 counting only the distinct ones).

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

Adding to 220003312320000 its reverse (23213300022), we get a palindrome (220026525620022).

The spelling of 220003312320000 in words is "two hundred twenty trillion, three billion, three hundred twelve million, three hundred twenty thousand".