21112000000000 has 1040 divisors, whose sum is σ = 67191789994560. Its totient is φ = 6451200000000.

The previous prime is 21111999999917. The next prime is 21112000000009. The reversal of 21112000000000 is 21112.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a self number, because there is not a number n which added to its sum of digits gives 21112000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112000000009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 727999999986 + ... + 728000000014.

Almost surely, 2^{21112000000000} is an apocalyptic number.

21112000000000 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 21112000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33595894997280).

21112000000000 is an abundant number, since it is smaller than the sum of its proper divisors (46079789994560).

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

21112000000000 is an frugal number, since it uses more digits than its factorization.

21112000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21112000000000 its reverse (21112), we get a palindrome (21112000021112).

21112000000000 divided by its reverse (21112) gives a 9-th power (1000000000 = 10⁹).

The spelling of 21112000000000 in words is "twenty-one trillion, one hundred twelve billion", and thus it is an aban number.