12141431120 has 80 divisors (see below), whose sum is σ = 34743192960. Its totient is φ = 3842560512.

The previous prime is 12141431101. The next prime is 12141431123. The reversal of 12141431120 is 2113414121.

12141431120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12141431092 and 12141431101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141431123) 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 15 ways as a sum of consecutive naturals, for example, 826610 + ... + 841169.

It is an arithmetic number, because the mean of its divisors is an integer number (434289912).

Almost surely, 2^12141431120 is an apocalyptic number.

12141431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141431120 is an abundant number, since it is smaller than the sum of its proper divisors (22601761840).

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

12141431120 is a wasteful number, since it uses less digits than its factorization.

12141431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667812 (or 1667806 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12141431120 its reverse (2113414121), we get a palindrome (14254845241).

The spelling of 12141431120 in words is "twelve billion, one hundred forty-one million, four hundred thirty-one thousand, one hundred twenty".