332121300 has 144 divisors (see below), whose sum is σ = 1111178880. Its totient is φ = 75018240.

The previous prime is 332121289. The next prime is 332121301. The reversal of 332121300 is 3121233.

It is a super-2 number, since 2×332121300² = 220609115827380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 332121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186012 + ... + 187788.

It is an arithmetic number, because the mean of its divisors is an integer number (7716520).

Almost surely, 2^332121300 is an apocalyptic number.

332121300 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 332121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555589440).

332121300 is an abundant number, since it is smaller than the sum of its proper divisors (779057580).

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

332121300 is a wasteful number, since it uses less digits than its factorization.

332121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 332121300 is about 18224.1954554927. The cubic root of 332121300 is about 692.5198767466.

Adding to 332121300 its reverse (3121233), we get a palindrome (335242533).

The spelling of 332121300 in words is "three hundred thirty-two million, one hundred twenty-one thousand, three hundred".