126209945862401 has 16 divisors (see below), whose sum is σ = 129297428960208. Its totient is φ = 123157783756800.

The previous prime is 126209945862383. The next prime is 126209945862499. The reversal of 126209945862401 is 104268549902621.

It is a Cunningham number, because it is equal to 11234320²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2319711763600 + 123890234098801 = 1523060^2 + 11130599^2 .

It is a cyclic number.

It is not a de Polignac number, because 126209945862401 - 2²⁶ = 126209878753537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126209945762401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4140740 + ... + 16418453.

It is an arithmetic number, because the mean of its divisors is an integer number (8081089310013).

Almost surely, 2^{126209945862401} is an apocalyptic number.

It is an amenable number.

126209945862401 is a deficient number, since it is larger than the sum of its proper divisors (3087483097807).

126209945862401 is a wasteful number, since it uses less digits than its factorization.

126209945862401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20560052.

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 126209945862401 in words is "one hundred twenty-six trillion, two hundred nine billion, nine hundred forty-five million, eight hundred sixty-two thousand, four hundred one".