126436121321601 has 64 divisors (see below), whose sum is σ = 217356527001600. Its totient is φ = 63576783518976.

The previous prime is 126436121321597. The next prime is 126436121321617. The reversal of 126436121321601 is 106123121634621.

It is not a de Polignac number, because 126436121321601 - 2² = 126436121321597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126436121321601.

It is not an unprimeable number, because it can be changed into a prime (126436121322601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100451811 + ... + 101702696.

It is an arithmetic number, because the mean of its divisors is an integer number (3396195734400).

Almost surely, 2^{126436121321601} is an apocalyptic number.

It is an amenable number.

126436121321601 is a deficient number, since it is larger than the sum of its proper divisors (90920405679999).

126436121321601 is a wasteful number, since it uses less digits than its factorization.

126436121321601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202154638.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 126436121321601 in words is "one hundred twenty-six trillion, four hundred thirty-six billion, one hundred twenty-one million, three hundred twenty-one thousand, six hundred one".