12345535505120 has 96 divisors (see below), whose sum is σ = 30291176664000. Its totient is φ = 4750762807296.

The previous prime is 12345535505053. The next prime is 12345535505167. The reversal of 12345535505120 is 2150553554321.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11188820 + ... + 12242579.

It is an arithmetic number, because the mean of its divisors is an integer number (315533090250).

Almost surely, 2^{12345535505120} is an apocalyptic number.

12345535505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12345535505120 is an abundant number, since it is smaller than the sum of its proper divisors (17945641158880).

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

12345535505120 is a wasteful number, since it uses less digits than its factorization.

12345535505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23431540 (or 23431532 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The spelling of 12345535505120 in words is "twelve trillion, three hundred forty-five billion, five hundred thirty-five million, five hundred five thousand, one hundred twenty".