220110010112000 has 384 divisors, whose sum is σ = 565518491778240. Its totient is φ = 85459763200000.

The previous prime is 220110010111987. The next prime is 220110010112051. The reversal of 220110010112000 is 211010011022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067658775 + ... + 2067765225.

Almost surely, 2^{220110010112000} is an apocalyptic number.

220110010112000 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 220110010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282759245889120).

220110010112000 is an abundant number, since it is smaller than the sum of its proper divisors (345408481666240).

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

220110010112000 is a wasteful number, since it uses less digits than its factorization.

220110010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106726 (or 106696 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 220110010112000 its reverse (211010011022), we get a palindrome (220321020123022).

The spelling of 220110010112000 in words is "two hundred twenty trillion, one hundred ten billion, ten million, one hundred twelve thousand".