122124601 has 9 divisors (see below), whose sum is σ = 125519151. Its totient is φ = 118820352.

The previous prime is 122124589. The next prime is 122124671. The reversal of 122124601 is 106421221.

The square root of 122124601 is 11051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120231225 + 1893376 = 10965^2 + 1376^2 .

It is not a de Polignac number, because 122124601 - 2¹⁵ = 122091833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122124671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 475065 + ... + 475321.

Almost surely, 2^122124601 is an apocalyptic number.

122124601 is the 11051-st square number.

122124601 is the 5526-th centered octagonal number.

It is an amenable number.

122124601 is a deficient number, since it is larger than the sum of its proper divisors (3394550).

122124601 is an frugal number, since it uses more digits than its factorization.

122124601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The cubic root of 122124601 is about 496.1363560786.

Adding to 122124601 its reverse (106421221), we get a palindrome (228545822).

The spelling of 122124601 in words is "one hundred twenty-two million, one hundred twenty-four thousand, six hundred one".