220312100002000 has 160 divisors (see below), whose sum is σ = 536357231654400. Its totient is φ = 87522412377600.

The previous prime is 220312100001997. The next prime is 220312100002037. The reversal of 220312100002000 is 200001213022.

220312100002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623252009 + ... + 2623335991.

It is an arithmetic number, because the mean of its divisors is an integer number (3352232697840).

Almost surely, 2^{220312100002000} is an apocalyptic number.

220312100002000 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 220312100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268178615827200).

220312100002000 is an abundant number, since it is smaller than the sum of its proper divisors (316045131652400).

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

220312100002000 is a wasteful number, since it uses less digits than its factorization.

220312100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92958 (or 92942 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 220312100002000 its reverse (200001213022), we get a palindrome (220512101215022).

The spelling of 220312100002000 in words is "two hundred twenty trillion, three hundred twelve billion, one hundred million, two thousand".