42212211221224 has 32 divisors (see below), whose sum is σ = 86482647568800. Its totient is φ = 19156371347520.

The previous prime is 42212211221183. The next prime is 42212211221249.

It is a happy number.

42212211221224 is nontrivially palindromic in base 10.

42212211221224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 42212211221192 and 42212211221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387412587 + ... + 387521530.

It is an arithmetic number, because the mean of its divisors is an integer number (2702582736525).

Almost surely, 2^{42212211221224} is an apocalyptic number.

42212211221224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42212211221224 is an abundant number, since it is smaller than the sum of its proper divisors (44270436347576).

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

42212211221224 is a wasteful number, since it uses less digits than its factorization.

42212211221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774934753 (or 774934749 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 4221221 and 1221224, that added together give a palindrome (5442445).

The spelling of 42212211221224 in words is "forty-two trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty-four".