1006231160000 has 420 divisors, whose sum is σ = 2765860441344. Its totient is φ = 362799360000.

The previous prime is 1006231159991. The next prime is 1006231160059. The reversal of 1006231160000 is 611326001.

It is a super-2 number, since 2×1006231160000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 614679182 + ... + 614680818.

Almost surely, 2^{1006231160000} is an apocalyptic number.

1006231160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006231160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382930220672).

1006231160000 is an abundant number, since it is smaller than the sum of its proper divisors (1759629281344).

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

1006231160000 is a wasteful number, since it uses less digits than its factorization.

1006231160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1006231160000 its reverse (611326001), we get a palindrome (1006842486001).

The spelling of 1006231160000 in words is "one trillion, six billion, two hundred thirty-one million, one hundred sixty thousand".