122133041 has 16 divisors (see below), whose sum is σ = 130022928. Its totient is φ = 114566400.

The previous prime is 122133019. The next prime is 122133047. The reversal of 122133041 is 140331221.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 121330225 = 896^2 + 11015^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133041 - 2⁶ = 122132977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119111 + ... + 120131.

It is an arithmetic number, because the mean of its divisors is an integer number (8126433).

Almost surely, 2^122133041 is an apocalyptic number.

It is an amenable number.

122133041 is a deficient number, since it is larger than the sum of its proper divisors (7889887).

122133041 is a wasteful number, since it uses less digits than its factorization.

122133041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 122133041 is about 11051.3818592971. The cubic root of 122133041 is about 496.1477851010.

Adding to 122133041 its reverse (140331221), we get a palindrome (262464262).

The spelling of 122133041 in words is "one hundred twenty-two million, one hundred thirty-three thousand, forty-one".