11972129 has 6 divisors (see below), whose sum is σ = 12964086. Its totient is φ = 11051040.

The previous prime is 11972113. The next prime is 11972141. The reversal of 11972129 is 92127911.

11972129 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 529 + 11971600 = 23^2 + 3460^2 .

It is not a de Polignac number, because 11972129 - 2⁴ = 11972113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11972095 and 11972104.

It is not an unprimeable number, because it can be changed into a prime (11972159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35252 + ... + 35589.

It is an arithmetic number, because the mean of its divisors is an integer number (2160681).

Almost surely, 2^11972129 is an apocalyptic number.

It is an amenable number.

11972129 is a deficient number, since it is larger than the sum of its proper divisors (991957).

11972129 is an equidigital number, since it uses as much as digits as its factorization.

11972129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70867 (or 70854 counting only the distinct ones).

The product of its digits is 2268, while the sum is 32.

The square root of 11972129 is about 3460.0764442422. The cubic root of 11972129 is about 228.7654648288.

The spelling of 11972129 in words is "eleven million, nine hundred seventy-two thousand, one hundred twenty-nine".