11847816120 has 256 divisors, whose sum is σ = 44881827840. Its totient is φ = 2437890048.

The previous prime is 11847816089. The next prime is 11847816121. The reversal of 11847816120 is 2161874811.

11847816120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11847816121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 310404 + ... + 346476.

It is an arithmetic number, because the mean of its divisors is an integer number (175319640).

Almost surely, 2^11847816120 is an apocalyptic number.

11847816120 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 11847816120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22440913920).

11847816120 is an abundant number, since it is smaller than the sum of its proper divisors (33034011720).

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

11847816120 is a wasteful number, since it uses less digits than its factorization.

11847816120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36134 (or 36130 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 11847816120 in words is "eleven billion, eight hundred forty-seven million, eight hundred sixteen thousand, one hundred twenty".