12670412053000 has 256 divisors, whose sum is σ = 33330053615040. Its totient is φ = 4477234176000.

The previous prime is 12670412052971. The next prime is 12670412053001. The reversal of 12670412053000 is 35021407621.

It can be written as a sum of positive squares in 32 ways, for example, as 11342575279876 + 1327836773124 = 3367874^2 + 1152318^2 .

It is not an unprimeable number, because it can be changed into a prime (12670412053001) 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 63 ways as a sum of consecutive naturals, for example, 29125084 + ... + 29556916.

Almost surely, 2^{12670412053000} is an apocalyptic number.

12670412053000 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 12670412053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665026807520).

12670412053000 is an abundant number, since it is smaller than the sum of its proper divisors (20659641562040).

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

12670412053000 is a wasteful number, since it uses less digits than its factorization.

12670412053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431965 (or 431951 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 12670412053000 in words is "twelve trillion, six hundred seventy billion, four hundred twelve million, fifty-three thousand".