1000011111200 has 72 divisors (see below), whose sum is σ = 2441461619268. Its totient is φ = 399974215680.

The previous prime is 1000011111167. The next prime is 1000011111223. The reversal of 1000011111200 is 21111100001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 304381717264 + 695629393936 = 551708^2 + 834044^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 11 ways as a sum of consecutive naturals, for example, 12691124 + ... + 12769676.

Almost surely, 2^{1000011111200} is an apocalyptic number.

1000011111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000011111200 is an abundant number, since it is smaller than the sum of its proper divisors (1441450508068).

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

1000011111200 is a wasteful number, since it uses less digits than its factorization.

1000011111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94486 (or 94473 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000011111200 its reverse (21111100001), we get a palindrome (1021122211201).

The spelling of 1000011111200 in words is "one trillion, eleven million, one hundred eleven thousand, two hundred".