42221200212224 has 108 divisors (see below), whose sum is σ = 92694643270320. Its totient is φ = 19179216460800.

The previous prime is 42221200212209. The next prime is 42221200212259.

42221200212224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42221200212193 and 42221200212202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48229487 + ... + 49097105.

Almost surely, 2^{42221200212224} is an apocalyptic number.

42221200212224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221200212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46347321635160).

42221200212224 is an abundant number, since it is smaller than the sum of its proper divisors (50473443058096).

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

42221200212224 is a wasteful number, since it uses less digits than its factorization.

42221200212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869228 (or 869203 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 42221200 and 212224, that added together give a palindrome (42433424).

The spelling of 42221200212224 in words is "forty-two trillion, two hundred twenty-one billion, two hundred million, two hundred twelve thousand, two hundred twenty-four".