2221112000020 has 144 divisors (see below), whose sum is σ = 5216890749840. Its totient is φ = 791479185408.

The previous prime is 2221112000017. The next prime is 2221112000027. The reversal of 2221112000020 is 200002111222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2883045636 + 2218228954384 = 53694^2 + 1489372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221112000027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151822066 + ... + 151836694.

It is an arithmetic number, because the mean of its divisors is an integer number (36228407985).

Almost surely, 2^{2221112000020} is an apocalyptic number.

2221112000020 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 2221112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608445374920).

2221112000020 is an abundant number, since it is smaller than the sum of its proper divisors (2995778749820).

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

2221112000020 is a wasteful number, since it uses less digits than its factorization.

2221112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15930 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2221112000020 its reverse (200002111222), we get a palindrome (2421114111242).

The spelling of 2221112000020 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, twenty", and thus it is an aban number.