33230221200 has 720 divisors, whose sum is σ = 130815502272. Its totient is φ = 7741440000.

The previous prime is 33230221187. The next prime is 33230221229. The reversal of 33230221200 is 212203233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×33230221200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157489095 + ... + 157489305.

Almost surely, 2^33230221200 is an apocalyptic number.

33230221200 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 33230221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65407751136).

33230221200 is an abundant number, since it is smaller than the sum of its proper divisors (97585281072).

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

33230221200 is a wasteful number, since it uses less digits than its factorization.

33230221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33230221200 its reverse (212203233), we get a palindrome (33442424433).

The spelling of 33230221200 in words is "thirty-three billion, two hundred thirty million, two hundred twenty-one thousand, two hundred".