12903376384129 has 45 divisors (see below), whose sum is σ = 16514846659155. Its totient is φ = 10052208196800.

The previous prime is 12903376384069. The next prime is 12903376384177. The reversal of 12903376384129 is 92148367330921.

The square root of 12903376384129 is 3592127.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12709388990529 + 193987393600 = 3565023^2 + 440440^2 .

It is not a de Polignac number, because 12903376384129 - 2⁹ = 12903376383617 is a prime.

It is a super-2 number, since 2×12903376384129² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12903376384229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3042529449 + ... + 3042533689.

Almost surely, 2^{12903376384129} is an apocalyptic number.

12903376384129 is the 3592127-th square number.

12903376384129 is the 1796064-th centered octagonal number.

It is an amenable number.

12903376384129 is a deficient number, since it is larger than the sum of its proper divisors (3611470275026).

12903376384129 is an frugal number, since it uses more digits than its factorization.

12903376384129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 12903376384129 in words is "twelve trillion, nine hundred three billion, three hundred seventy-six million, three hundred eighty-four thousand, one hundred twenty-nine".