1006213748172 has 48 divisors (see below), whose sum is σ = 2408755466880. Its totient is φ = 326801859328.

The previous prime is 1006213748147. The next prime is 1006213748237. The reversal of 1006213748172 is 2718473126001.

It is a super-2 number, since 2×1006213748172² (a number of 25 digits) contains 22 as substring.

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, 6208518 + ... + 6368525.

It is an arithmetic number, because the mean of its divisors is an integer number (50182405560).

Almost surely, 2^{1006213748172} is an apocalyptic number.

1006213748172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006213748172 is an abundant number, since it is smaller than the sum of its proper divisors (1402541718708).

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

1006213748172 is a wasteful number, since it uses less digits than its factorization.

1006213748172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577222 (or 12577220 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1006213748172 in words is "one trillion, six billion, two hundred thirteen million, seven hundred forty-eight thousand, one hundred seventy-two".