12118133120 has 384 divisors, whose sum is σ = 33910552800. Its totient is φ = 4114022400.

The previous prime is 12118133099. The next prime is 12118133173. The reversal of 12118133120 is 2133181121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198657890 + ... + 198657950.

Almost surely, 2^12118133120 is an apocalyptic number.

12118133120 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 12118133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955276400).

12118133120 is an abundant number, since it is smaller than the sum of its proper divisors (21792419680).

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

12118133120 is a wasteful number, since it uses less digits than its factorization.

12118133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12118133120 in words is "twelve billion, one hundred eighteen million, one hundred thirty-three thousand, one hundred twenty".