220011000012 has 96 divisors (see below), whose sum is σ = 590223110400. Its totient is φ = 70826507136.

The previous prime is 220010999939. The next prime is 220011000017. The reversal of 220011000012 is 210000110022.

220011000012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×220011000012³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220010999958 and 220011000003.

It is not an unprimeable number, because it can be changed into a prime (220011000017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147163 + ... + 679469.

It is an arithmetic number, because the mean of its divisors is an integer number (6148157400).

Almost surely, 2^220011000012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220011000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295111555200).

220011000012 is an abundant number, since it is smaller than the sum of its proper divisors (370212110388).

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

220011000012 is a wasteful number, since it uses less digits than its factorization.

220011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532452 (or 532444 counting only the distinct ones).

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

Adding to 220011000012 its reverse (210000110022), we get a palindrome (430011110034).

The spelling of 220011000012 in words is "two hundred twenty billion, eleven million, twelve", and thus it is an aban number.