1005221606172 has 48 divisors (see below), whose sum is σ = 2838272774400. Its totient is φ = 270311692032.

The previous prime is 1005221606167. The next prime is 1005221606183. The reversal of 1005221606172 is 2716061225001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 351966922 + ... + 351969777.

It is an arithmetic number, because the mean of its divisors is an integer number (59130682800).

Almost surely, 2^{1005221606172} is an apocalyptic number.

1005221606172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005221606172 is an abundant number, since it is smaller than the sum of its proper divisors (1833051168228).

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

1005221606172 is a wasteful number, since it uses less digits than its factorization.

1005221606172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703936730 (or 703936728 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1005221606172 in words is "one trillion, five billion, two hundred twenty-one million, six hundred six thousand, one hundred seventy-two".