21141322314112 has 256 divisors, whose sum is σ = 57109270579200. Its totient is φ = 7527988224000.

The previous prime is 21141322314109. The next prime is 21141322314143.

21141322314112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12124089 + ... + 13757767.

It is an arithmetic number, because the mean of its divisors is an integer number (223083088200).

Almost surely, 2^{21141322314112} is an apocalyptic number.

21141322314112 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 21141322314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28554635289600).

21141322314112 is an abundant number, since it is smaller than the sum of its proper divisors (35967948265088).

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

21141322314112 is a wasteful number, since it uses less digits than its factorization.

21141322314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633825 (or 1633813 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2114132 and 2314112, that added together give a palindrome (4428244).

The spelling of 21141322314112 in words is "twenty-one trillion, one hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, one hundred twelve".