12001305204100 has 27 divisors (see below), whose sum is σ = 26042907468207. Its totient is φ = 4800508224480.

The previous prime is 12001305204071. The next prime is 12001305204197. The reversal of 12001305204100 is 140250310021.

The square root of 12001305204100 is 3464290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1114261803396 + 10887043400704 = 1055586^2 + 3299552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34469686 + ... + 34816114.

Almost surely, 2^{12001305204100} is an apocalyptic number.

12001305204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001305204100 is the 3464290-th square number.

It is an amenable number.

12001305204100 is an abundant number, since it is smaller than the sum of its proper divisors (14041602264107).

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

12001305204100 is an frugal number, since it uses more digits than its factorization.

12001305204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692872 (or 346436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12001305204100 its reverse (140250310021), we get a palindrome (12141555514121).

The spelling of 12001305204100 in words is "twelve trillion, one billion, three hundred five million, two hundred four thousand, one hundred".