12812062536000 has 1680 divisors, whose sum is σ = 57589065210768. Its totient is φ = 2702730240000.

The previous prime is 12812062535963. The next prime is 12812062536041. The reversal of 12812062536000 is 63526021821.

12812062536000 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 20 + 6 + 25 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4182286764096 + 8629775771904 = 2045064^2 + 2937648^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2247333150 + ... + 2247338850.

Almost surely, 2^{12812062536000} is an apocalyptic number.

12812062536000 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 12812062536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28794532605384).

12812062536000 is an abundant number, since it is smaller than the sum of its proper divisors (44777002674768).

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

12812062536000 is an equidigital number, since it uses as much as digits as its factorization.

12812062536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 12812062536000 its reverse (63526021821), we get a palindrome (12875588557821).

The spelling of 12812062536000 in words is "twelve trillion, eight hundred twelve billion, sixty-two million, five hundred thirty-six thousand".