42224242422312 has 128 divisors (see below), whose sum is σ = 117528926256000. Its totient is φ = 14046030789120.

The previous prime is 42224242422301. The next prime is 42224242422437. The reversal of 42224242422312 is 21322424242224.

42224242422312 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 4 + 2 + 424 + 223 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1103565262 + ... + 1103603522.

It is an arithmetic number, because the mean of its divisors is an integer number (918194736375).

Almost surely, 2^{42224242422312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224242422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58764463128000).

42224242422312 is an abundant number, since it is smaller than the sum of its proper divisors (75304683833688).

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

42224242422312 is a wasteful number, since it uses less digits than its factorization.

42224242422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48568 (or 48558 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 42224242422312 its reverse (21322424242224), we get a palindrome (63546666664536).

The spelling of 42224242422312 in words is "forty-two trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, three hundred twelve".