12102334200 has 384 divisors, whose sum is σ = 46114905600. Its totient is φ = 2892672000.

The previous prime is 12102334199. The next prime is 12102334241. The reversal of 12102334200 is 243320121.

Added to its reverse (243320121) it gives a square (12345654321 = 111111²).

12102334200 is a `hidden beast` number, since 1 + 2 + 10 + 233 + 420 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4334805 + ... + 4337595.

It is an arithmetic number, because the mean of its divisors is an integer number (120090900).

Almost surely, 2^12102334200 is an apocalyptic number.

12102334200 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 12102334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057452800).

12102334200 is an abundant number, since it is smaller than the sum of its proper divisors (34012571400).

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

12102334200 is a wasteful number, since it uses less digits than its factorization.

12102334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12102334200 its reverse (243320121), we get a palindrome (12345654321).

The spelling of 12102334200 in words is "twelve billion, one hundred two million, three hundred thirty-four thousand, two hundred".