11299111200 has 864 divisors, whose sum is σ = 47294222976. Its totient is φ = 2607759360.

The previous prime is 11299111199. The next prime is 11299111207. The reversal of 11299111200 is 211199211.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11299111207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 42962269 + ... + 42962531.

It is an arithmetic number, because the mean of its divisors is an integer number (54738684).

Almost surely, 2^11299111200 is an apocalyptic number.

11299111200 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 11299111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647111488).

11299111200 is an abundant number, since it is smaller than the sum of its proper divisors (35995111776).

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

11299111200 is a wasteful number, since it uses less digits than its factorization.

11299111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 11299111200 in words is "eleven billion, two hundred ninety-nine million, one hundred eleven thousand, two hundred".