11111200000002 has 80 divisors (see below), whose sum is σ = 26002353041280. Its totient is φ = 3539627486208.

The previous prime is 11111199999971. The next prime is 11111200000013. The reversal of 11111200000002 is 20000000211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 11111200000002.

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 39 ways as a sum of consecutive naturals, for example, 3002899 + ... + 5589257.

It is an arithmetic number, because the mean of its divisors is an integer number (325029413016).

Almost surely, 2^{11111200000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111200000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13001176520640).

11111200000002 is an abundant number, since it is smaller than the sum of its proper divisors (14891153041278).

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

11111200000002 is a wasteful number, since it uses less digits than its factorization.

11111200000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587549 (or 2587540 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11111200000002 its reverse (20000000211111), we get a palindrome (31111200211113).

It can be divided in two parts, 11111 and 200000002, that multiplied together give a palindrome (2222200022222).

The spelling of 11111200000002 in words is "eleven trillion, one hundred eleven billion, two hundred million, two", and thus it is an aban number.