123261045042001 has 32 divisors (see below), whose sum is σ = 133158547620000. Its totient is φ = 113672810004480.

The previous prime is 123261045041989. The next prime is 123261045042043. The reversal of 123261045042001 is 100240540162321.

It can be written as a sum of positive squares in 16 ways, for example, as 7261682952001 + 115999362090000 = 2694751^2 + 10770300^2 .

It is a cyclic number.

It is not a de Polignac number, because 123261045042001 - 2⁹ = 123261045041489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123261045042071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379484401 + ... + 379809073.

It is an arithmetic number, because the mean of its divisors is an integer number (4161204613125).

Almost surely, 2^{123261045042001} is an apocalyptic number.

It is an amenable number.

123261045042001 is a deficient number, since it is larger than the sum of its proper divisors (9897502577999).

123261045042001 is a wasteful number, since it uses less digits than its factorization.

123261045042001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326149.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 123261045042001 in words is "one hundred twenty-three trillion, two hundred sixty-one billion, forty-five million, forty-two thousand, one".