12938120129 has 16 divisors (see below), whose sum is σ = 14956920000. Its totient is φ = 11068067520.

The previous prime is 12938120119. The next prime is 12938120197. The reversal of 12938120129 is 92102183921.

It is a cyclic number.

It is not a de Polignac number, because 12938120129 - 2¹⁶ = 12938054593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12938120092 and 12938120101.

It is not an unprimeable number, because it can be changed into a prime (12938120119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176594 + ... + 238875.

It is an arithmetic number, because the mean of its divisors is an integer number (934807500).

Almost surely, 2^12938120129 is an apocalyptic number.

12938120129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12938120129 is a deficient number, since it is larger than the sum of its proper divisors (2018799871).

12938120129 is a wasteful number, since it uses less digits than its factorization.

12938120129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415648.

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 12938120129 in words is "twelve billion, nine hundred thirty-eight million, one hundred twenty thousand, one hundred twenty-nine".