12102121200 has 120 divisors (see below), whose sum is σ = 41749268848. Its totient is φ = 2978979840.

The previous prime is 12102121189. The next prime is 12102121253. The reversal of 12102121200 is 212120121.

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

It is a super-2 number, since 2×12102121200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372289 + ... + 403488.

Almost surely, 2^12102121200 is an apocalyptic number.

12102121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102121200 is an abundant number, since it is smaller than the sum of its proper divisors (29647147648).

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

12102121200 is a wasteful number, since it uses less digits than its factorization.

12102121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775811 (or 775800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102121200 its reverse (212120121), we get a palindrome (12314241321).

The spelling of 12102121200 in words is "twelve billion, one hundred two million, one hundred twenty-one thousand, two hundred".