20126129 has 2 divisors, whose sum is σ = 20126130. Its totient is φ = 20126128.

The previous prime is 20126101. The next prime is 20126131. The reversal of 20126129 is 92162102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18905104 + 1221025 = 4348^2 + 1105^2 .

It is a cyclic number.

It is not a de Polignac number, because 20126129 - 2²⁴ = 3348913 is a prime.

It is a super-3 number, since 3×20126129³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 20126131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20126159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10063064 + 10063065.

It is an arithmetic number, because the mean of its divisors is an integer number (10063065).

Almost surely, 2^20126129 is an apocalyptic number.

It is an amenable number.

20126129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20126129 is an equidigital number, since it uses as much as digits as its factorization.

20126129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 20126129 is about 4486.2154428872. The cubic root of 20126129 is about 272.0111776332.

The spelling of 20126129 in words is "twenty million, one hundred twenty-six thousand, one hundred twenty-nine".