1012442105320 has 192 divisors, whose sum is σ = 2494394844480. Its totient is φ = 369548304384.

The previous prime is 1012442105317. The next prime is 1012442105329. The reversal of 1012442105320 is 235012442101.

It is not an unprimeable number, because it can be changed into a prime (1012442105329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68092527 + ... + 68107393.

It is an arithmetic number, because the mean of its divisors is an integer number (12991639815).

Almost surely, 2^{1012442105320} is an apocalyptic number.

1012442105320 is a gapful number since it is divisible by the number (10) 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 1012442105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247197422240).

1012442105320 is an abundant number, since it is smaller than the sum of its proper divisors (1481952739160).

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

1012442105320 is a wasteful number, since it uses less digits than its factorization.

1012442105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1012442105320 its reverse (235012442101), we get a palindrome (1247454547421).

The spelling of 1012442105320 in words is "one trillion, twelve billion, four hundred forty-two million, one hundred five thousand, three hundred twenty".