1012129 has 8 divisors (see below), whose sum is σ = 1109160. Its totient is φ = 919296.

The previous prime is 1012103. The next prime is 1012133. The reversal of 1012129 is 9212101.

It can be written as a sum of positive squares in 4 ways, for example, as 286225 + 725904 = 535^2 + 852^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012129 - 2⁵ = 1012097 is a prime.

It is a super-2 number, since 2×1012129² = 2048810225282, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012159) 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 7 ways as a sum of consecutive naturals, for example, 534 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (138645).

2^1012129 is an apocalyptic number.

It is an amenable number.

1012129 is a deficient number, since it is larger than the sum of its proper divisors (97031).

1012129 is a wasteful number, since it uses less digits than its factorization.

1012129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1012129 is about 1006.0462216022. The cubic root of 1012129 is about 100.4026763412.

The spelling of 1012129 in words is "one million, twelve thousand, one hundred twenty-nine".