12120121200 has 240 divisors, whose sum is σ = 42778369152. Its totient is φ = 2908800000.

The previous prime is 12120121199. The next prime is 12120121201. The reversal of 12120121200 is 212102121.

It is an interprime number because it is at equal distance from previous prime (12120121199) and next prime (12120121201).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120121201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328655 + ... + 1337745.

Almost surely, 2^12120121200 is an apocalyptic number.

12120121200 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 12120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389184576).

12120121200 is an abundant number, since it is smaller than the sum of its proper divisors (30658247952).

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

12120121200 is a wasteful number, since it uses less digits than its factorization.

12120121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9213 counting only the distinct ones).

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

Adding to 12120121200 its reverse (212102121), we get a palindrome (12332223321).

The spelling of 12120121200 in words is "twelve billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".