11200001003000 has 128 divisors (see below), whose sum is σ = 27975928780800. Its totient is φ = 4184432784000.

The previous prime is 11200001002991. The next prime is 11200001003003. The reversal of 11200001003000 is 30010000211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200001003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2802224 + ... + 5500223.

It is an arithmetic number, because the mean of its divisors is an integer number (218561943600).

Almost surely, 2^{11200001003000} is an apocalyptic number.

11200001003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200001003000 is an abundant number, since it is smaller than the sum of its proper divisors (16775927777800).

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

11200001003000 is a wasteful number, since it uses less digits than its factorization.

11200001003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302558 (or 8302544 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11200001003000 its reverse (30010000211), we get a palindrome (11230011003211).

The spelling of 11200001003000 in words is "eleven trillion, two hundred billion, one million, three thousand".