12431703543120 has 540 divisors, whose sum is σ = 45755909196660. Its totient is φ = 3140593026048.

The previous prime is 12431703543107. The next prime is 12431703543121. The reversal of 12431703543120 is 2134530713421.

12431703543120 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 170 + 35 + 431 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8229416740416 + 4202286802704 = 2868696^2 + 2049948^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431703543121) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 189448876 + ... + 189514484.

It is an arithmetic number, because the mean of its divisors is an integer number (84733165179).

Almost surely, 2^{12431703543120} is an apocalyptic number.

12431703543120 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 12431703543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877954598330).

12431703543120 is an abundant number, since it is smaller than the sum of its proper divisors (33324205653540).

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

12431703543120 is an frugal number, since it uses more digits than its factorization.

12431703543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65684 (or 65638 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12431703543120 in words is "twelve trillion, four hundred thirty-one billion, seven hundred three million, five hundred forty-three thousand, one hundred twenty".