332120000 has 210 divisors, whose sum is σ = 906965928. Its totient is φ = 120384000.

The previous prime is 332119979. The next prime is 332120021. The reversal of 332120000 is 21233.

It is an interprime number because it is at equal distance from previous prime (332119979) and next prime (332120021).

It is a super-2 number, since 2×332120000² = 220607388800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 14439989 + ... + 14440011.

Almost surely, 2^332120000 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 332120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453482964).

332120000 is an abundant number, since it is smaller than the sum of its proper divisors (574845928).

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

332120000 is an equidigital number, since it uses as much as digits as its factorization.

332120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

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

The square root of 332120000 is about 18224.1597885883. The cubic root of 332120000 is about 692.5189731842.

Adding to 332120000 its reverse (21233), we get a palindrome (332141233).

The spelling of 332120000 in words is "three hundred thirty-two million, one hundred twenty thousand".