12410936533152 has 144 divisors (see below), whose sum is σ = 38016109168128. Its totient is φ = 3829461419520.

The previous prime is 12410936533139. The next prime is 12410936533159. The reversal of 12410936533152 is 25133563901421.

12410936533152 is a `hidden beast` number, since 1 + 2 + 4 + 10 + 93 + 6 + 533 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 12410936533098 and 12410936533107.

It is not an unprimeable number, because it can be changed into a prime (12410936533159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30014523 + ... + 30425210.

It is an arithmetic number, because the mean of its divisors is an integer number (264000758112).

Almost surely, 2^{12410936533152} is an apocalyptic number.

12410936533152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12410936533152 is an abundant number, since it is smaller than the sum of its proper divisors (25605172634976).

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

12410936533152 is a wasteful number, since it uses less digits than its factorization.

12410936533152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60439803 (or 60439792 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 12410936533152 in words is "twelve trillion, four hundred ten billion, nine hundred thirty-six million, five hundred thirty-three thousand, one hundred fifty-two".