21114144141112 has 32 divisors (see below), whose sum is σ = 43273883076480. Its totient is φ = 9578258030560.

The previous prime is 21114144141107. The next prime is 21114144141121.

21114144141112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238458178 + ... + 238546705.

It is an arithmetic number, because the mean of its divisors is an integer number (1352308846140).

Almost surely, 2^{21114144141112} is an apocalyptic number.

21114144141112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21114144141112 is an abundant number, since it is smaller than the sum of its proper divisors (22159738935368).

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

21114144141112 is a wasteful number, since it uses less digits than its factorization.

21114144141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477005403 (or 477005399 counting only the distinct ones).

The product of its digits is 1024, while the sum is 28.

It can be divided in two parts, 2111414 and 4141112, that added together give a palindrome (6252526).

The spelling of 21114144141112 in words is "twenty-one trillion, one hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, one hundred twelve".