1001012012 has 72 divisors (see below), whose sum is σ = 2365074432. Its totient is φ = 359985600.

The previous prime is 1001011987. The next prime is 1001012087. The reversal of 1001012012 is 2102101001.

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 23 ways as a sum of consecutive naturals, for example, 42437 + ... + 61667.

It is an arithmetic number, because the mean of its divisors is an integer number (32848256).

Almost surely, 2^1001012012 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 1001012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182537216).

1001012012 is an abundant number, since it is smaller than the sum of its proper divisors (1364062420).

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

1001012012 is a wasteful number, since it uses less digits than its factorization.

1001012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19279 (or 19264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1001012012 is about 31638.7738700475. The cubic root of 1001012012 is about 1000.3372236008.

Adding to 1001012012 its reverse (2102101001), we get a palindrome (3103113013).

It can be divided in two parts, 10010 and 12012, that added together give a palindrome (22022).

The spelling of 1001012012 in words is "one billion, one million, twelve thousand, twelve".