12835922130720 has 768 divisors, whose sum is σ = 48625185530880. Its totient is φ = 3143752777728.

The previous prime is 12835922130671. The next prime is 12835922130767. The reversal of 12835922130720 is 2703122953821.

12835922130720 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 592 + 2 + 1 + 30 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 16605332254 + ... + 16605333026.

It is an arithmetic number, because the mean of its divisors is an integer number (63314043660).

Almost surely, 2^{12835922130720} is an apocalyptic number.

12835922130720 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 12835922130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312592765440).

12835922130720 is an abundant number, since it is smaller than the sum of its proper divisors (35789263400160).

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

12835922130720 is a wasteful number, since it uses less digits than its factorization.

12835922130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12835922130720 in words is "twelve trillion, eight hundred thirty-five billion, nine hundred twenty-two million, one hundred thirty thousand, seven hundred twenty".