12131997120 has 168 divisors, whose sum is σ = 42232606416. Its totient is φ = 3196157952.

The previous prime is 12131997103. The next prime is 12131997131. The reversal of 12131997120 is 2179913121.

12131997120 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 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, 213664 + ... + 264416.

It is an arithmetic number, because the mean of its divisors is an integer number (251384562).

Almost surely, 2^12131997120 is an apocalyptic number.

12131997120 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 12131997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21116303208).

12131997120 is an abundant number, since it is smaller than the sum of its proper divisors (30100609296).

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

12131997120 is a wasteful number, since it uses less digits than its factorization.

12131997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50859 (or 50846 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 12131997120 in words is "twelve billion, one hundred thirty-one million, nine hundred ninety-seven thousand, one hundred twenty".