42220111102224 has 160 divisors (see below), whose sum is σ = 120808645751808. Its totient is φ = 12598213824000.

The previous prime is 42220111102223. The next prime is 42220111102243.

42220111102224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42220111102194 and 42220111102203.

It is not an unprimeable number, because it can be changed into a prime (42220111102223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29708422 + ... + 31097114.

Almost surely, 2^{42220111102224} is an apocalyptic number.

42220111102224 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 42220111102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60404322875904).

42220111102224 is an abundant number, since it is smaller than the sum of its proper divisors (78588534649584).

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

42220111102224 is a wasteful number, since it uses less digits than its factorization.

42220111102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389597 (or 1389591 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4222011 and 1102224, that added together give a palindrome (5324235).

The spelling of 42220111102224 in words is "forty-two trillion, two hundred twenty billion, one hundred eleven million, one hundred two thousand, two hundred twenty-four".