122641291 has 8 divisors (see below), whose sum is σ = 126298368. Its totient is φ = 119016000.

The previous prime is 122641249. The next prime is 122641297. The reversal of 122641291 is 192146221.

122641291 is a nontrivial binomial coefficient, being equal to C(15662, 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 122641291 - 2²⁵ = 89086859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122641297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 15661.

It is an arithmetic number, because the mean of its divisors is an integer number (15787296).

Almost surely, 2^122641291 is an apocalyptic number.

122641291 is the 15661-st triangular number and also the 7831-st hexagonal number.

122641291 is the 5221-st centered nonagonal number.

122641291 is a deficient number, since it is larger than the sum of its proper divisors (3657077).

122641291 is a wasteful number, since it uses less digits than its factorization.

122641291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15893.

The product of its digits is 1728, while the sum is 28.

The square root of 122641291 is about 11074.3528479094. The cubic root of 122641291 is about 496.8350632880.

The spelling of 122641291 in words is "one hundred twenty-two million, six hundred forty-one thousand, two hundred ninety-one".