122122033 has 12 divisors (see below), whose sum is σ = 142131780. Its totient is φ = 104487680.

The previous prime is 122122001. The next prime is 122122037. The reversal of 122122033 is 330221221.

It can be written as a sum of positive squares in 2 ways, for example, as 43125489 + 78996544 = 6567^2 + 8888^2 .

It is not a de Polignac number, because 122122033 - 2⁵ = 122122001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122121998 and 122122016.

It is not an unprimeable number, because it can be changed into a prime (122122037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27628 + ... + 31741.

It is an arithmetic number, because the mean of its divisors is an integer number (11844315).

Almost surely, 2^122122033 is an apocalyptic number.

It is an amenable number.

122122033 is a deficient number, since it is larger than the sum of its proper divisors (20009747).

122122033 is a wasteful number, since it uses less digits than its factorization.

122122033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59408 (or 59397 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122122033 is about 11050.8838108090. The cubic root of 122122033 is about 496.1328785180.

Adding to 122122033 its reverse (330221221), we get a palindrome (452343254).

The spelling of 122122033 in words is "one hundred twenty-two million, one hundred twenty-two thousand, thirty-three".