21442122124412 has 48 divisors (see below), whose sum is σ = 44741057356800. Its totient is φ = 8877193900800.

The previous prime is 21442122124351. The next prime is 21442122124439.

21442122124412 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462330662 + ... + 462377037.

It is an arithmetic number, because the mean of its divisors is an integer number (932105361600).

Almost surely, 2^{21442122124412} is an apocalyptic number.

21442122124412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21442122124412 is an abundant number, since it is smaller than the sum of its proper divisors (23298935232388).

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

21442122124412 is a wasteful number, since it uses less digits than its factorization.

21442122124412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924707762 (or 924707760 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 2144212 and 2124412, that added together give a palindrome (4268624).

The spelling of 21442122124412 in words is "twenty-one trillion, four hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, four hundred twelve".