12036462007752 has 1536 divisors, whose sum is σ = 45875154124800. Its totient is φ = 2867608396800.

The previous prime is 12036462007729. The next prime is 12036462007781. The reversal of 12036462007752 is 25770026463021.

12036462007752 is a `hidden beast` number, since 12 + 0 + 3 + 6 + 4 + 620 + 0 + 7 + 7 + 5 + 2 = 666.

12036462007752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12036462007698 and 12036462007707.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7397947563 + ... + 7397949189.

It is an arithmetic number, because the mean of its divisors is an integer number (29866636800).

Almost surely, 2^{12036462007752} is an apocalyptic number.

12036462007752 is a gapful number since it is divisible by the number (12) 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 12036462007752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937577062400).

12036462007752 is an abundant number, since it is smaller than the sum of its proper divisors (33838692117048).

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

12036462007752 is a wasteful number, since it uses less digits than its factorization.

12036462007752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 12036462007752 in words is "twelve trillion, thirty-six billion, four hundred sixty-two million, seven thousand, seven hundred fifty-two".