1056006006012 has 48 divisors (see below), whose sum is σ = 2738101111200. Its totient is φ = 351962432640.

The previous prime is 1056006005903. The next prime is 1056006006017. The reversal of 1056006006012 is 2106006006501.

It is a happy number.

1056006006012 is a `hidden beast` number, since 1 + 0 + 56 + 0 + 0 + 6 + 0 + 0 + 601 + 2 = 666.

It is a super-2 number, since 2×1056006006012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056006006017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423562 + ... + 1513742.

It is an arithmetic number, because the mean of its divisors is an integer number (57043773150).

Almost surely, 2^{1056006006012} is an apocalyptic number.

1056006006012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1056006006012 is an abundant number, since it is smaller than the sum of its proper divisors (1682095105188).

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

1056006006012 is a wasteful number, since it uses less digits than its factorization.

1056006006012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099163 (or 1099155 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1056006006012 in words is "one trillion, fifty-six billion, six million, six thousand, twelve".