121972033 has 2 divisors, whose sum is σ = 121972034. Its totient is φ = 121972032.

The previous prime is 121972009. The next prime is 121972051. The reversal of 121972033 is 330279121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88134544 + 33837489 = 9388^2 + 5817^2 .

It is a cyclic number.

It is not a de Polignac number, because 121972033 - 2²⁵ = 88417601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121971992 and 121972010.

It is not a weakly prime, because it can be changed into another prime (121972063) 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 as a sum of consecutive naturals, namely, 60986016 + 60986017.

It is an arithmetic number, because the mean of its divisors is an integer number (60986017).

Almost surely, 2^121972033 is an apocalyptic number.

It is an amenable number.

121972033 is a deficient number, since it is larger than the sum of its proper divisors (1).

121972033 is an equidigital number, since it uses as much as digits as its factorization.

121972033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 121972033 is about 11044.0949380200. The cubic root of 121972033 is about 495.9296653324.

The spelling of 121972033 in words is "one hundred twenty-one million, nine hundred seventy-two thousand, thirty-three".