333122420 has 48 divisors (see below), whose sum is σ = 725760000. Its totient is φ = 128284800.

The previous prime is 333122411. The next prime is 333122441. The reversal of 333122420 is 24221333.

It is a super-2 number, since 2×333122420² = 221941093413312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 333122392 and 333122401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288845 + ... + 289995.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 2^333122420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880000).

333122420 is an abundant number, since it is smaller than the sum of its proper divisors (392637580).

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

333122420 is a wasteful number, since it uses less digits than its factorization.

333122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 333122420 is about 18251.6415700068. The cubic root of 333122420 is about 693.2150043584.

Adding to 333122420 its reverse (24221333), we get a palindrome (357343753).

The spelling of 333122420 in words is "three hundred thirty-three million, one hundred twenty-two thousand, four hundred twenty".