334221120 has 224 divisors, whose sum is σ = 1193840640. Its totient is φ = 88012800.

The previous prime is 334221101. The next prime is 334221131. The reversal of 334221120 is 21122433.

It is a super-2 number, since 2×334221120² = 223407514108108800, 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 = 334221093 and 334221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872449 + ... + 872831.

Almost surely, 2^334221120 is an apocalyptic number.

334221120 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 334221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596920320).

334221120 is an abundant number, since it is smaller than the sum of its proper divisors (859619520).

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

334221120 is a wasteful number, since it uses less digits than its factorization.

334221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 334221120 is about 18281.7154556130. The cubic root of 334221120 is about 693.9762855692.

Adding to 334221120 its reverse (21122433), we get a palindrome (355343553).

The spelling of 334221120 in words is "three hundred thirty-four million, two hundred twenty-one thousand, one hundred twenty".