12820197630240 has 576 divisors, whose sum is σ = 58739821201152. Its totient is φ = 2459018649600.

The previous prime is 12820197630217. The next prime is 12820197630257. The reversal of 12820197630240 is 4203679102821.

12820197630240 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 1 + 9 + 7 + 630 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×12820197630240² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3005571 + ... + 5888450.

It is an arithmetic number, because the mean of its divisors is an integer number (101978856252).

Almost surely, 2^{12820197630240} is an apocalyptic number.

12820197630240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12820197630240 is an abundant number, since it is smaller than the sum of its proper divisors (45919623570912).

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

12820197630240 is a wasteful number, since it uses less digits than its factorization.

12820197630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894073 (or 8894062 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12820197630240 in words is "twelve trillion, eight hundred twenty billion, one hundred ninety-seven million, six hundred thirty thousand, two hundred forty".