21144133144112 has 160 divisors (see below), whose sum is σ = 47521253802240. Its totient is φ = 9012643200000.

The previous prime is 21144133144091. The next prime is 21144133144117.

21144133144112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21144133144112² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21144133144117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2135550362 + ... + 2135560262.

It is an arithmetic number, because the mean of its divisors is an integer number (297007836264).

Almost surely, 2^{21144133144112} is an apocalyptic number.

21144133144112 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 21144133144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760626901120).

21144133144112 is an abundant number, since it is smaller than the sum of its proper divisors (26377120658128).

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

21144133144112 is a wasteful number, since it uses less digits than its factorization.

21144133144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16363 (or 16357 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 2114413 and 3144112, that added together give a palindrome (5258525).

The spelling of 21144133144112 in words is "twenty-one trillion, one hundred forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, one hundred twelve".