12400526401 has 2 divisors, whose sum is σ = 12400526402. Its totient is φ = 12400526400.

The previous prime is 12400526381. The next prime is 12400526407. The reversal of 12400526401 is 10462500421.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12072735376 + 327791025 = 109876^2 + 18105^2 .

It is a cyclic number.

It is not a de Polignac number, because 12400526401 - 2¹³ = 12400518209 is a prime.

It is not a weakly prime, because it can be changed into another prime (12400526407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6200263200 + 6200263201.

It is an arithmetic number, because the mean of its divisors is an integer number (6200263201).

Almost surely, 2^12400526401 is an apocalyptic number.

It is an amenable number.

12400526401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12400526401 is an equidigital number, since it uses as much as digits as its factorization.

12400526401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 12400526401 in words is "twelve billion, four hundred million, five hundred twenty-six thousand, four hundred one".