332112000 has 512 divisors, whose sum is σ = 1306056960. Its totient is φ = 73728000.

The previous prime is 332111993. The next prime is 332112023. The reversal of 332112000 is 211233.

It is a happy number.

It is a super-2 number, since 2×332112000² = 220596761088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8975982 + ... + 8976018.

Almost surely, 2^332112000 is an apocalyptic number.

332112000 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 332112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653028480).

332112000 is an abundant number, since it is smaller than the sum of its proper divisors (973944960).

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

332112000 is a wasteful number, since it uses less digits than its factorization.

332112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 332112000 is about 18223.9402984097. The cubic root of 332112000 is about 692.5134127479.

Adding to 332112000 its reverse (211233), we get a palindrome (332323233).

The spelling of 332112000 in words is "three hundred thirty-two million, one hundred twelve thousand".