442113203112 has 128 divisors (see below), whose sum is σ = 1295745085440. Its totient is φ = 123085313280.

The previous prime is 442113203087. The next prime is 442113203123. The reversal of 442113203112 is 211302311244.

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

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, 1669062 + ... + 1915722.

It is an arithmetic number, because the mean of its divisors is an integer number (10123008480).

Almost surely, 2^442113203112 is an apocalyptic number.

442113203112 is a gapful number since it is divisible by the number (42) 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 442113203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647872542720).

442113203112 is an abundant number, since it is smaller than the sum of its proper divisors (853631882328).

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

442113203112 is a wasteful number, since it uses less digits than its factorization.

442113203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246951 (or 246947 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 442113203112 its reverse (211302311244), we get a palindrome (653415514356).

The spelling of 442113203112 in words is "four hundred forty-two billion, one hundred thirteen million, two hundred three thousand, one hundred twelve".