13212104576 has 128 divisors (see below), whose sum is σ = 29885967360. Its totient is φ = 5765294080.

The previous prime is 13212104483. The next prime is 13212104639. The reversal of 13212104576 is 67540121231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505445 + ... + 3509211.

It is an arithmetic number, because the mean of its divisors is an integer number (233484120).

Almost surely, 2^13212104576 is an apocalyptic number.

13212104576 is a gapful number since it is divisible by the number (16) 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 13212104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942983680).

13212104576 is an abundant number, since it is smaller than the sum of its proper divisors (16673862784).

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

13212104576 is a wasteful number, since it uses less digits than its factorization.

13212104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 13212104576 in words is "thirteen billion, two hundred twelve million, one hundred four thousand, five hundred seventy-six".