11876127120 has 320 divisors, whose sum is σ = 48059424000. Its totient is φ = 2657525760.

The previous prime is 11876127113. The next prime is 11876127161. The reversal of 11876127120 is 2172167811.

11876127120 is a `hidden beast` number, since 1 + 18 + 7 + 612 + 7 + 1 + 20 = 666.

11876127120 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 (36).

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 63 ways as a sum of consecutive naturals, for example, 289656 + ... + 328104.

It is an arithmetic number, because the mean of its divisors is an integer number (150185700).

Almost surely, 2^11876127120 is an apocalyptic number.

11876127120 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 11876127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24029712000).

11876127120 is an abundant number, since it is smaller than the sum of its proper divisors (36183296880).

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

11876127120 is a wasteful number, since it uses less digits than its factorization.

11876127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38495 (or 38483 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 11876127120 in words is "eleven billion, eight hundred seventy-six million, one hundred twenty-seven thousand, one hundred twenty".