12041577345401 has 16 divisors (see below), whose sum is σ = 12188927087568. Its totient is φ = 11894710272000.

The previous prime is 12041577345383. The next prime is 12041577345419. The reversal of 12041577345401 is 10454377514021.

It is an interprime number because it is at equal distance from previous prime (12041577345383) and next prime (12041577345419).

It can be written as a sum of positive squares in 8 ways, for example, as 6756018025 + 12034821327376 = 82195^2 + 3469124^2 .

It is a cyclic number.

It is not a de Polignac number, because 12041577345401 - 2⁶ = 12041577345337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12041577345701) 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, 292243601 + ... + 292284801.

It is an arithmetic number, because the mean of its divisors is an integer number (761807942973).

Almost surely, 2^{12041577345401} is an apocalyptic number.

It is an amenable number.

12041577345401 is a deficient number, since it is larger than the sum of its proper divisors (147349742167).

12041577345401 is an equidigital number, since it uses as much as digits as its factorization.

12041577345401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46972.

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 12041577345401 in words is "twelve trillion, forty-one billion, five hundred seventy-seven million, three hundred forty-five thousand, four hundred one".