12032642101248 has 312 divisors, whose sum is σ = 36838843346448. Its totient is φ = 3771089289216.

The previous prime is 12032642101217. The next prime is 12032642101303. The reversal of 12032642101248 is 84210124623021.

12032642101248 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 642 + 1 + 0 + 1 + 2 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647359411 + ... + 647377997.

It is an arithmetic number, because the mean of its divisors is an integer number (118073215854).

Almost surely, 2^{12032642101248} is an apocalyptic number.

12032642101248 is a gapful number since it is divisible by the number (18) 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 12032642101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419421673224).

12032642101248 is an abundant number, since it is smaller than the sum of its proper divisors (24806201245200).

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

12032642101248 is a wasteful number, since it uses less digits than its factorization.

12032642101248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19667 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 12032642101248 its reverse (84210124623021), we get a palindrome (96242766724269).

The spelling of 12032642101248 in words is "twelve trillion, thirty-two billion, six hundred forty-two million, one hundred one thousand, two hundred forty-eight".