120122033 has 8 divisors (see below), whose sum is σ = 121578600. Its totient is φ = 118672128.

The previous prime is 120122021. The next prime is 120122059. The reversal of 120122033 is 330221021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10543009 + 109579024 = 3247^2 + 10468^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120122033 - 2⁸ = 120121777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120121999 and 120122017.

It is not an unprimeable number, because it can be changed into a prime (120122003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40985 + ... + 43817.

It is an arithmetic number, because the mean of its divisors is an integer number (15197325).

Almost surely, 2^120122033 is an apocalyptic number.

It is an amenable number.

120122033 is a deficient number, since it is larger than the sum of its proper divisors (1456567).

120122033 is a wasteful number, since it uses less digits than its factorization.

120122033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 120122033 is about 10960.0197536318. The cubic root of 120122033 is about 493.4095578085.

Adding to 120122033 its reverse (330221021), we get a palindrome (450343054).

The spelling of 120122033 in words is "one hundred twenty million, one hundred twenty-two thousand, thirty-three".