412112403224505 has 96 divisors (see below), whose sum is σ = 722662206578208. Its totient is φ = 217236824064000.

The previous prime is 412112403224453. The next prime is 412112403224531. The reversal of 412112403224505 is 505422304211214.

412112403224505 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 1 + 2 + 403 + 2 + 245 + 0 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 108728918963856 + 303383484260649 = 10427316^2 + 17417907^2 .

It is not a de Polignac number, because 412112403224505 - 2¹² = 412112403220409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412112403224505.

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, 8359762017 + ... + 8359811313.

It is an arithmetic number, because the mean of its divisors is an integer number (7527731318523).

Almost surely, 2^{412112403224505} is an apocalyptic number.

412112403224505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412112403224505 is a deficient number, since it is larger than the sum of its proper divisors (310549803353703).

412112403224505 is a wasteful number, since it uses less digits than its factorization.

412112403224505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52587 (or 52584 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 412112403224505 its reverse (505422304211214), we get a palindrome (917534707435719).

The spelling of 412112403224505 in words is "four hundred twelve trillion, one hundred twelve billion, four hundred three million, two hundred twenty-four thousand, five hundred five".