12381129338760 has 1024 divisors, whose sum is σ = 53828022528000. Its totient is φ = 2460663152640.

The previous prime is 12381129338723. The next prime is 12381129338777. The reversal of 12381129338760 is 6783392118321.

12381129338760 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 112 + 93 + 387 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12381129338697 and 12381129338706.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 116801944 + ... + 116907896.

It is an arithmetic number, because the mean of its divisors is an integer number (52566428250).

Almost surely, 2^{12381129338760} is an apocalyptic number.

12381129338760 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 12381129338760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26914011264000).

12381129338760 is an abundant number, since it is smaller than the sum of its proper divisors (41446893189240).

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

12381129338760 is a wasteful number, since it uses less digits than its factorization.

12381129338760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106063 (or 106053 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12381129338760 in words is "twelve trillion, three hundred eighty-one billion, one hundred twenty-nine million, three hundred thirty-eight thousand, seven hundred sixty".