30002133200 has 120 divisors (see below), whose sum is σ = 77754486936. Its totient is φ = 11059200000.

The previous prime is 30002133199. The next prime is 30002133277. The reversal of 30002133200 is 233120003.

It can be written as a sum of positive squares in 12 ways, for example, as 11589814336 + 18412318864 = 107656^2 + 135692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3328700 + ... + 3337700.

Almost surely, 2^30002133200 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 30002133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38877243468).

30002133200 is an abundant number, since it is smaller than the sum of its proper divisors (47752353736).

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

30002133200 is a wasteful number, since it uses less digits than its factorization.

30002133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 30002133200 its reverse (233120003), we get a palindrome (30235253203).

The spelling of 30002133200 in words is "thirty billion, two million, one hundred thirty-three thousand, two hundred".