12381720540 has 192 divisors, whose sum is σ = 41102573568. Its totient is φ = 2725228800.

The previous prime is 12381720539. The next prime is 12381720553. The reversal of 12381720540 is 4502718321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2744967 + ... + 2749473.

It is an arithmetic number, because the mean of its divisors is an integer number (214075904).

Almost surely, 2^12381720540 is an apocalyptic number.

12381720540 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 12381720540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20551286784).

12381720540 is an abundant number, since it is smaller than the sum of its proper divisors (28720853028).

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

12381720540 is a wasteful number, since it uses less digits than its factorization.

12381720540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 12381720540 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty thousand, five hundred forty".