12785423100241 has 45 divisors (see below), whose sum is σ = 14579870205355. Its totient is φ = 11211301880240.

The previous prime is 12785423100199. The next prime is 12785423100257. The reversal of 12785423100241 is 14200132458721.

The square root of 12785423100241 is 3575671.

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

It can be written as a sum of positive squares in only one way, i.e., 6704365739841 + 6081057360400 = 2589279^2 + 2465980^2 .

It is not a de Polignac number, because 12785423100241 - 2¹⁹ = 12785422575953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12785423100194 and 12785423100203.

It is not an unprimeable number, because it can be changed into a prime (12785423100941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12547029030 + ... + 12547030048.

Almost surely, 2^{12785423100241} is an apocalyptic number.

12785423100241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12785423100241 is the 3575671-st square number.

12785423100241 is the 1787836-th centered octagonal number.

It is an amenable number.

12785423100241 is a deficient number, since it is larger than the sum of its proper divisors (1794447105114).

12785423100241 is an frugal number, since it uses more digits than its factorization.

12785423100241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

Adding to 12785423100241 its reverse (14200132458721), we get a palindrome (26985555558962).

The spelling of 12785423100241 in words is "twelve trillion, seven hundred eighty-five billion, four hundred twenty-three million, one hundred thousand, two hundred forty-one".