20112012221312 has 128 divisors (see below), whose sum is σ = 45034446808800. Its totient is φ = 8868554506240.

The previous prime is 20112012221311. The next prime is 20112012221321. The reversal of 20112012221312 is 21312221021102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112012221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127428 + ... + 8155644.

Almost surely, 2^{20112012221312} is an apocalyptic number.

20112012221312 is a gapful number since it is divisible by the number (22) 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 20112012221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517223404400).

20112012221312 is an abundant number, since it is smaller than the sum of its proper divisors (24922434587488).

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

20112012221312 is a wasteful number, since it uses less digits than its factorization.

20112012221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028384 (or 3028372 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 20112012221312 its reverse (21312221021102), we get a palindrome (41424233242414).

The spelling of 20112012221312 in words is "twenty trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, three hundred twelve".