333222120 has 256 divisors, whose sum is σ = 1385164800. Its totient is φ = 69223680.

The previous prime is 333222107. The next prime is 333222121. The reversal of 333222120 is 21222333.

It is a happy number.

It is a super-2 number, since 2×333222120² = 222073962514588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 333222093 and 333222102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333222121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81157 + ... + 85163.

It is an arithmetic number, because the mean of its divisors is an integer number (5410800).

Almost surely, 2^333222120 is an apocalyptic number.

333222120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692582400).

333222120 is an abundant number, since it is smaller than the sum of its proper divisors (1051942680).

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

333222120 is a wasteful number, since it uses less digits than its factorization.

333222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 333222120 is about 18254.3726268530. The cubic root of 333222120 is about 693.2841547547.

Adding to 333222120 its reverse (21222333), we get a palindrome (354444453).

It can be divided in two parts, 3332 and 22120, that added together give a palindrome (25452).

The spelling of 333222120 in words is "three hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty".