220112001000 has 768 divisors, whose sum is σ = 825632870400. Its totient is φ = 52690176000.

The previous prime is 220112000947. The next prime is 220112001001. The reversal of 220112001000 is 100211022.

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

It is not an unprimeable number, because it can be changed into a prime (220112001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222110505 + ... + 222111495.

It is an arithmetic number, because the mean of its divisors is an integer number (1075042800).

Almost surely, 2^220112001000 is an apocalyptic number.

220112001000 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 220112001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412816435200).

220112001000 is an abundant number, since it is smaller than the sum of its proper divisors (605520869400).

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

220112001000 is a wasteful number, since it uses less digits than its factorization.

220112001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

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

Adding to 220112001000 its reverse (100211022), we get a palindrome (220212212022).

The spelling of 220112001000 in words is "two hundred twenty billion, one hundred twelve million, one thousand".