220010000112000 has 2304 divisors, whose sum is σ = 944171126870400. Its totient is φ = 48088276992000.

The previous prime is 220010000111897. The next prime is 220010000112083. The reversal of 220010000112000 is 211000010022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 287 ways as a sum of consecutive naturals, for example, 92402350810 + ... + 92402353190.

Almost surely, 2^{220010000112000} is an apocalyptic number.

220010000112000 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 220010000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472085563435200).

220010000112000 is an abundant number, since it is smaller than the sum of its proper divisors (724161126758400).

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

220010000112000 is a wasteful number, since it uses less digits than its factorization.

220010000112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220010000112000 its reverse (211000010022), we get a palindrome (220221000122022).

The spelling of 220010000112000 in words is "two hundred twenty trillion, ten billion, one hundred twelve thousand".