12107962493760 has 896 divisors, whose sum is σ = 44934148546560. Its totient is φ = 2705532420096.

The previous prime is 12107962493743. The next prime is 12107962493761. The reversal of 12107962493760 is 6739426970121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12107962493760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107962493761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30498645882 + ... + 30498646278.

It is an arithmetic number, because the mean of its divisors is an integer number (50149719360).

Almost surely, 2^{12107962493760} is an apocalyptic number.

12107962493760 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 12107962493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467074273280).

12107962493760 is an abundant number, since it is smaller than the sum of its proper divisors (32826186052800).

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

12107962493760 is a wasteful number, since it uses less digits than its factorization.

12107962493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 12107962493760 in words is "twelve trillion, one hundred seven billion, nine hundred sixty-two million, four hundred ninety-three thousand, seven hundred sixty".