1012003001312 has 48 divisors (see below), whose sum is σ = 2042639499600. Its totient is φ = 493257538560.

The previous prime is 1012003001299. The next prime is 1012003001363. The reversal of 1012003001312 is 2131003002101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298639 + ... + 1926257.

It is an arithmetic number, because the mean of its divisors is an integer number (42554989575).

Almost surely, 2^{1012003001312} 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 1012003001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021319749800).

1012003001312 is an abundant number, since it is smaller than the sum of its proper divisors (1030636498288).

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

1012003001312 is a wasteful number, since it uses less digits than its factorization.

1012003001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628899 (or 628891 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1012003001312 its reverse (2131003002101), we get a palindrome (3143006003413).

The spelling of 1012003001312 in words is "one trillion, twelve billion, three million, one thousand, three hundred twelve".