12201003100032 has 128 divisors (see below), whose sum is σ = 32486541342720. Its totient is φ = 4057267968000.

The previous prime is 12201003099959. The next prime is 12201003100051. The reversal of 12201003100032 is 23000130010221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201003099984 and 12201003100020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405293493 + ... + 405323595.

It is an arithmetic number, because the mean of its divisors is an integer number (253801104240).

Almost surely, 2^{12201003100032} is an apocalyptic number.

12201003100032 is a gapful number since it is divisible by the number (12) 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 12201003100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243270671360).

12201003100032 is an abundant number, since it is smaller than the sum of its proper divisors (20285538242688).

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

12201003100032 is a wasteful number, since it uses less digits than its factorization.

12201003100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32612 (or 32600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12201003100032 its reverse (23000130010221), we get a palindrome (35201133110253).

The spelling of 12201003100032 in words is "twelve trillion, two hundred one billion, three million, one hundred thousand, thirty-two".