11871310200 has 96 divisors (see below), whose sum is σ = 38737996800. Its totient is φ = 2999064960.

The previous prime is 11871310193. The next prime is 11871310271. The reversal of 11871310200 is 201317811.

It is a happy number.

11871310200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 509272 + ... + 532071.

It is an arithmetic number, because the mean of its divisors is an integer number (403520800).

Almost surely, 2^11871310200 is an apocalyptic number.

11871310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11871310200 is an abundant number, since it is smaller than the sum of its proper divisors (26866686600).

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

11871310200 is a wasteful number, since it uses less digits than its factorization.

11871310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041381 (or 1041372 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 11871310200 in words is "eleven billion, eight hundred seventy-one million, three hundred ten thousand, two hundred".