11200000300320 has 192 divisors, whose sum is σ = 38206107112320. Its totient is φ = 2741521072128.

The previous prime is 11200000300283. The next prime is 11200000300337. The reversal of 11200000300320 is 2300300000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200000300296 and 11200000300305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3896649 + ... + 6130568.

It is an arithmetic number, because the mean of its divisors is an integer number (198990141210).

Almost surely, 2^{11200000300320} is an apocalyptic number.

11200000300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200000300320 is an abundant number, since it is smaller than the sum of its proper divisors (27006106812000).

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

11200000300320 is a wasteful number, since it uses less digits than its factorization.

11200000300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10027427 (or 10027419 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11200000300320 its reverse (2300300000211), we get a palindrome (13500300300531).

The spelling of 11200000300320 in words is "eleven trillion, two hundred billion, three hundred thousand, three hundred twenty".