11712129 has 32 divisors (see below), whose sum is σ = 19160064. Its totient is φ = 6262080.

The previous prime is 11712121. The next prime is 11712131. The reversal of 11712129 is 92121711.

It is not a de Polignac number, because 11712129 - 2³ = 11712121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11712099 and 11712108.

It is not an unprimeable number, because it can be changed into a prime (11712121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9274 + ... + 10460.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 2^11712129 is an apocalyptic number.

It is an amenable number.

11712129 is a deficient number, since it is larger than the sum of its proper divisors (7447935).

11712129 is a wasteful number, since it uses less digits than its factorization.

11712129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237.

The product of its digits is 252, while the sum is 24.

The square root of 11712129 is about 3422.2987888260. The cubic root of 11712129 is about 227.0972886036.

It can be divided in two parts, 117 and 12129, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 11712129 in words is "eleven million, seven hundred twelve thousand, one hundred twenty-nine".