1005500001012 has 72 divisors (see below), whose sum is σ = 2628128089440. Its totient is φ = 298716163200.

The previous prime is 1005500001007. The next prime is 1005500001013. The reversal of 1005500001012 is 2101000055001.

It is a super-3 number, since 3×1005500001012³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1005500000982 and 1005500001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005500001013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8489614 + ... + 8607237.

It is an arithmetic number, because the mean of its divisors is an integer number (36501779020).

Almost surely, 2^{1005500001012} is an apocalyptic number.

1005500001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005500001012 is an abundant number, since it is smaller than the sum of its proper divisors (1622628088428).

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

1005500001012 is a wasteful number, since it uses less digits than its factorization.

1005500001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096913 (or 17096898 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 1005500001012 its reverse (2101000055001), we get a palindrome (3106500056013).

The spelling of 1005500001012 in words is "one trillion, five billion, five hundred million, one thousand, twelve".