442112103312 has 640 divisors, whose sum is σ = 1368488411136. Its totient is φ = 121704960000.

The previous prime is 442112103263. The next prime is 442112103337. The reversal of 442112103312 is 213301211244.

It is a super-2 number, since 2×442112103312² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 3374901487 + ... + 3374901617.

Almost surely, 2^442112103312 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 442112103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684244205568).

442112103312 is an abundant number, since it is smaller than the sum of its proper divisors (926376307824).

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

442112103312 is a wasteful number, since it uses less digits than its factorization.

442112103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

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

Adding to 442112103312 its reverse (213301211244), we get a palindrome (655413314556).

The spelling of 442112103312 in words is "four hundred forty-two billion, one hundred twelve million, one hundred three thousand, three hundred twelve".