12546832104072 has 128 divisors (see below), whose sum is σ = 40061452089600. Its totient is φ = 3564087657984.

The previous prime is 12546832104067. The next prime is 12546832104101. The reversal of 12546832104072 is 27040123864521.

12546832104072 is a `hidden beast` number, since 1 + 2 + 546 + 8 + 32 + 1 + 0 + 4 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23721573 + ... + 24244724.

It is an arithmetic number, because the mean of its divisors is an integer number (312980094450).

Almost surely, 2^{12546832104072} is an apocalyptic number.

12546832104072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12546832104072 is an abundant number, since it is smaller than the sum of its proper divisors (27514619985528).

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

12546832104072 is a wasteful number, since it uses less digits than its factorization.

12546832104072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47966492 (or 47966482 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 12546832104072 its reverse (27040123864521), we get a palindrome (39586955968593).

The spelling of 12546832104072 in words is "twelve trillion, five hundred forty-six billion, eight hundred thirty-two million, one hundred four thousand, seventy-two".