42213122131224 has 384 divisors, whose sum is σ = 119722498237440. Its totient is φ = 12386297088000.

The previous prime is 42213122131223. The next prime is 42213122131249.

42213122131224 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 = 42213122131191 and 42213122131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213122131223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8937774927 + ... + 8937779649.

It is an arithmetic number, because the mean of its divisors is an integer number (311777339160).

Almost surely, 2^{42213122131224} is an apocalyptic number.

42213122131224 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 42213122131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59861249118720).

42213122131224 is an abundant number, since it is smaller than the sum of its proper divisors (77509376106216).

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

42213122131224 is a wasteful number, since it uses less digits than its factorization.

42213122131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5328 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 4221312 and 2131224, that added together give a palindrome (6352536).

The spelling of 42213122131224 in words is "forty-two trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty-four".