42212222221224 has 128 divisors (see below), whose sum is σ = 117356954664960. Its totient is φ = 12545389920000.

The previous prime is 42212222221219. The next prime is 42212222221241.

42212222221224 is nontrivially palindromic in base 10.

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 = 42212222221191 and 42212222221200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315287 + ... + 9475494.

It is an arithmetic number, because the mean of its divisors is an integer number (916851208320).

Almost surely, 2^{42212222221224} is an apocalyptic number.

42212222221224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42212222221224 is an abundant number, since it is smaller than the sum of its proper divisors (75144732443736).

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

42212222221224 is a wasteful number, since it uses less digits than its factorization.

42212222221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791063 (or 11791059 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 4221222 and 2221224, that added together give a palindrome (6442446).

The spelling of 42212222221224 in words is "forty-two trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-four".