122829029 has 8 divisors (see below), whose sum is σ = 131343768. Its totient is φ = 114457600.

The previous prime is 122829017. The next prime is 122829041. The reversal of 122829029 is 920928221.

It is an interprime number because it is at equal distance from previous prime (122829017) and next prime (122829041).

It can be written as a sum of positive squares in 4 ways, for example, as 60450625 + 62378404 = 7775^2 + 7898^2 .

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

It is not a de Polignac number, because 122829029 - 2⁴ = 122829013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122829029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122829059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34052 + ... + 37485.

It is an arithmetic number, because the mean of its divisors is an integer number (16417971).

Almost surely, 2^122829029 is an apocalyptic number.

It is an amenable number.

122829029 is a deficient number, since it is larger than the sum of its proper divisors (8514739).

122829029 is a wasteful number, since it uses less digits than its factorization.

122829029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71655.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 122829029 is about 11082.8258580562. The cubic root of 122829029 is about 497.0884506697.

The spelling of 122829029 in words is "one hundred twenty-two million, eight hundred twenty-nine thousand, twenty-nine".