12102133200 has 120 divisors (see below), whose sum is σ = 38806840608. Its totient is φ = 3223933440.

The previous prime is 12102133189. The next prime is 12102133229. The reversal of 12102133200 is 233120121.

It is a tau number, because it is divible by the number of its divisors (120).

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 12102133200.

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, 1306987 + ... + 1316213.

Almost surely, 2^12102133200 is an apocalyptic number.

12102133200 is a gapful number since it is divisible by the number (10) 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 12102133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403420304).

12102133200 is an abundant number, since it is smaller than the sum of its proper divisors (26704707408).

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

12102133200 is a wasteful number, since it uses less digits than its factorization.

12102133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12102133200 its reverse (233120121), we get a palindrome (12335253321).

The spelling of 12102133200 in words is "twelve billion, one hundred two million, one hundred thirty-three thousand, two hundred".