122141133 has 12 divisors (see below), whose sum is σ = 177551868. Its totient is φ = 80907840.

The previous prime is 122141099. The next prime is 122141137. The reversal of 122141133 is 331141221.

122141133 is a `hidden beast` number, since 1 + 221 + 411 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51883209 + 70257924 = 7203^2 + 8382^2 .

It is not a de Polignac number, because 122141133 - 2⁹ = 122140621 is a prime.

It is a super-3 number, since 3×122141133³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122141137) 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 11 ways as a sum of consecutive naturals, for example, 41808 + ... + 44633.

It is an arithmetic number, because the mean of its divisors is an integer number (14795989).

Almost surely, 2^122141133 is an apocalyptic number.

It is an amenable number.

122141133 is a deficient number, since it is larger than the sum of its proper divisors (55410735).

122141133 is a wasteful number, since it uses less digits than its factorization.

122141133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86604 (or 86601 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 122141133 is about 11051.7479612955. The cubic root of 122141133 is about 496.1587423849.

Adding to 122141133 its reverse (331141221), we get a palindrome (453282354).

The spelling of 122141133 in words is "one hundred twenty-two million, one hundred forty-one thousand, one hundred thirty-three".