12120121211200 has 84 divisors (see below), whose sum is σ = 29835320470972. Its totient is φ = 4846057574400.

The previous prime is 12120121211179. The next prime is 12120121211207. The reversal of 12120121211200 is 211212102121.

It can be written as a sum of positive squares in 6 ways, for example, as 352531937536 + 11767589273664 = 593744^2 + 3430392^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120121211207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2345020 + ... + 5453380.

Almost surely, 2^{12120121211200} is an apocalyptic number.

12120121211200 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 12120121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917660235486).

12120121211200 is an abundant number, since it is smaller than the sum of its proper divisors (17715199259772).

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

12120121211200 is a wasteful number, since it uses less digits than its factorization.

12120121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110820 (or 3110805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12120121211200 its reverse (211212102121), we get a palindrome (12331333313321).

The spelling of 12120121211200 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".