220012121112 has 96 divisors (see below), whose sum is σ = 642509107200. Its totient is φ = 62597510976.

The previous prime is 220012121111. The next prime is 220012121113. The reversal of 220012121112 is 211121210022.

220012121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220012121111) and next prime (220012121113).

It is a super-2 number, since 2×220012121112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220012121091 and 220012121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012121111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110328 + ... + 672455.

It is an arithmetic number, because the mean of its divisors is an integer number (6692803200).

Almost surely, 2^220012121112 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 220012121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321254553600).

220012121112 is an abundant number, since it is smaller than the sum of its proper divisors (422496986088).

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

220012121112 is a wasteful number, since it uses less digits than its factorization.

220012121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783045 (or 783034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220012121112 its reverse (211121210022), we get a palindrome (431133331134).

The spelling of 220012121112 in words is "two hundred twenty billion, twelve million, one hundred twenty-one thousand, one hundred twelve".