11304871200 has 216 divisors, whose sum is σ = 45558834048. Its totient is φ = 2583959040.

The previous prime is 11304871141. The next prime is 11304871223. The reversal of 11304871200 is 217840311.

It is a super-2 number, since 2×11304871200² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 61752 + ... + 162551.

It is an arithmetic number, because the mean of its divisors is an integer number (210920528).

Almost surely, 2^11304871200 is an apocalyptic number.

11304871200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304871200 is an abundant number, since it is smaller than the sum of its proper divisors (34253962848).

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

11304871200 is a wasteful number, since it uses less digits than its factorization.

11304871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224336 (or 224320 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11304871200 in words is "eleven billion, three hundred four million, eight hundred seventy-one thousand, two hundred".