12701201848236 has 576 divisors, whose sum is σ = 37840625786880. Its totient is φ = 3678116428800.

The previous prime is 12701201848217. The next prime is 12701201848249. The reversal of 12701201848236 is 63284810210721.

12701201848236 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 120 + 18 + 482 + 36 = 666.

It is a super-2 number, since 2×12701201848236² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12701201848191 and 12701201848200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7665178320 + ... + 7665179976.

It is an arithmetic number, because the mean of its divisors is an integer number (65695530880).

Almost surely, 2^{12701201848236} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701201848236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920312893440).

12701201848236 is an abundant number, since it is smaller than the sum of its proper divisors (25139423938644).

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

12701201848236 is a wasteful number, since it uses less digits than its factorization.

12701201848236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12701201848236 in words is "twelve trillion, seven hundred one billion, two hundred one million, eight hundred forty-eight thousand, two hundred thirty-six".