2912478742129 has 6 divisors (see below), whose sum is σ = 3201319609250. Its totient is φ = 2647707947280.

The previous prime is 2912478742097. The next prime is 2912478742157. The reversal of 2912478742129 is 9212478742192.

It can be written as a sum of positive squares in only one way, i.e., 2863787906529 + 48690835600 = 1692273^2 + 220660^2 .

It is not a de Polignac number, because 2912478742129 - 2⁵ = 2912478742097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2912478742429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12035036004 + ... + 12035036245.

Almost surely, 2^{2912478742129} is an apocalyptic number.

It is an amenable number.

2912478742129 is a deficient number, since it is larger than the sum of its proper divisors (288840867121).

2912478742129 is a wasteful number, since it uses less digits than its factorization.

2912478742129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24070072271 (or 24070072260 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 58.

The spelling of 2912478742129 in words is "two trillion, nine hundred twelve billion, four hundred seventy-eight million, seven hundred forty-two thousand, one hundred twenty-nine".