42221211212224 has 56 divisors (see below), whose sum is σ = 91566419384448. Its totient is φ = 19156374531840.

The previous prime is 42221211212207. The next prime is 42221211212237.

It is a happy number.

42221211212224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42221211212224² (a number of 28 digits) contains 22 as substring.

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 = 42221211212192 and 42221211212201.

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, 54435124 + ... + 55205299.

Almost surely, 2^{42221211212224} is an apocalyptic number.

42221211212224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42221211212224 is an abundant number, since it is smaller than the sum of its proper divisors (49345208172224).

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

42221211212224 is a wasteful number, since it uses less digits than its factorization.

42221211212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109640993 (or 109640983 counting only the distinct ones).

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

It can be divided in two parts, 4222121 and 1212224, that added together give a palindrome (5434345).

The spelling of 42221211212224 in words is "forty-two trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty-four".