33122000 has 40 divisors (see below), whose sum is σ = 80093832. Its totient is φ = 13248000.

The previous prime is 33121969. The next prime is 33122003. The reversal of 33122000 is 22133.

It can be written as a sum of positive squares in 4 ways, for example, as 7639696 + 25482304 = 2764^2 + 5048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122003) 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, 6281 + ... + 10280.

Almost surely, 2^33122000 is an apocalyptic number.

It is an amenable number.

33122000 is an abundant number, since it is smaller than the sum of its proper divisors (46971832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33122000 is a wasteful number, since it uses less digits than its factorization.

33122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16584 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33122000 is about 5755.1715873638. The cubic root of 33122000 is about 321.1482188021.

Adding to 33122000 its reverse (22133), we get a palindrome (33144133).

The spelling of 33122000 in words is "thirty-three million, one hundred twenty-two thousand".