21114222241112 has 192 divisors, whose sum is σ = 53701041387840. Its totient is φ = 7573156715520.

The previous prime is 21114222241069. The next prime is 21114222241117.

21114222241112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114222241117) 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, 32535518 + ... + 33178130.

It is an arithmetic number, because the mean of its divisors is an integer number (279692923895).

Almost surely, 2^{21114222241112} is an apocalyptic number.

21114222241112 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 21114222241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26850520693920).

21114222241112 is an abundant number, since it is smaller than the sum of its proper divisors (32586819146728).

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

21114222241112 is a wasteful number, since it uses less digits than its factorization.

21114222241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643034 (or 643019 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 2111422 and 2241112, that added together give a palindrome (4352534).

The spelling of 21114222241112 in words is "twenty-one trillion, one hundred fourteen billion, two hundred twenty-two million, two hundred forty-one thousand, one hundred twelve".