122540033 has 24 divisors (see below), whose sum is σ = 158097024. Its totient is φ = 93895200.

The previous prime is 122540017. The next prime is 122540053. The reversal of 122540033 is 330045221.

It is a happy number.

It is not a de Polignac number, because 122540033 - 2⁴ = 122540017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122539987 and 122540014.

It is not an unprimeable number, because it can be changed into a prime (122540053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31016 + ... + 34742.

It is an arithmetic number, because the mean of its divisors is an integer number (6587376).

Almost surely, 2^122540033 is an apocalyptic number.

It is an amenable number.

122540033 is a deficient number, since it is larger than the sum of its proper divisors (35556991).

122540033 is a wasteful number, since it uses less digits than its factorization.

122540033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 122540033 is about 11069.7801694523. The cubic root of 122540033 is about 496.6982894048.

Adding to 122540033 its reverse (330045221), we get a palindrome (452585254).

The spelling of 122540033 in words is "one hundred twenty-two million, five hundred forty thousand, thirty-three".