126801255001 has 16 divisors (see below), whose sum is σ = 140321719440. Its totient is φ = 114039152640.

The previous prime is 126801254873. The next prime is 126801255011. The reversal of 126801255001 is 100552108621.

It can be written as a sum of positive squares in 8 ways, for example, as 378341401 + 126422913600 = 19451^2 + 355560^2 .

It is a cyclic number.

It is not a de Polignac number, because 126801255001 - 2⁷ = 126801254873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126801255011) 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, 1277970 + ... + 1373611.

It is an arithmetic number, because the mean of its divisors is an integer number (8770107465).

Almost surely, 2^126801255001 is an apocalyptic number.

It is an amenable number.

126801255001 is a deficient number, since it is larger than the sum of its proper divisors (13520464439).

126801255001 is a wasteful number, since it uses less digits than its factorization.

126801255001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651724.

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 126801255001 in words is "one hundred twenty-six billion, eight hundred one million, two hundred fifty-five thousand, one".