1001442333012 has 192 divisors, whose sum is σ = 2600554844160. Its totient is φ = 297411379200.

The previous prime is 1001442332903. The next prime is 1001442333013. The reversal of 1001442333012 is 2103332441001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001442333013) 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 63 ways as a sum of consecutive naturals, for example, 1557452763 + ... + 1557453405.

It is an arithmetic number, because the mean of its divisors is an integer number (13544556480).

Almost surely, 2^{1001442333012} is an apocalyptic number.

1001442333012 is a gapful number since it is divisible by the number (12) 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 1001442333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300277422080).

1001442333012 is an abundant number, since it is smaller than the sum of its proper divisors (1599112511148).

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

1001442333012 is a wasteful number, since it uses less digits than its factorization.

1001442333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1001442333012 its reverse (2103332441001), we get a palindrome (3104774774013).

The spelling of 1001442333012 in words is "one trillion, one billion, four hundred forty-two million, three hundred thirty-three thousand, twelve".