33222120 has 64 divisors (see below), whose sum is σ = 104008320. Its totient is φ = 8473344.

The previous prime is 33222103. The next prime is 33222121. The reversal of 33222120 is 2122233.

It is a super-2 number, since 2×33222120² = 2207418514588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33222120.

It is not an unprimeable number, because it can be changed into a prime (33222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3259 + ... + 8778.

It is an arithmetic number, because the mean of its divisors is an integer number (1625130).

Almost surely, 2^33222120 is an apocalyptic number.

33222120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33222120 is an abundant number, since it is smaller than the sum of its proper divisors (70786200).

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

33222120 is a wasteful number, since it uses less digits than its factorization.

33222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33222120 is about 5763.8632877611. The cubic root of 33222120 is about 321.4714784344.

Adding to 33222120 its reverse (2122233), we get a palindrome (35344353).

The spelling of 33222120 in words is "thirty-three million, two hundred twenty-two thousand, one hundred twenty".