12131201202120 has 1536 divisors, whose sum is σ = 54518812508160. Its totient is φ = 2257652736000.

The previous prime is 12131201202079. The next prime is 12131201202151. The reversal of 12131201202120 is 2120210213121.

12131201202120 is a `hidden beast` number, since 1 + 21 + 312 + 0 + 120 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12131201202093 and 12131201202102.

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 383 ways as a sum of consecutive naturals, for example, 5746659865 + ... + 5746661975.

It is an arithmetic number, because the mean of its divisors is an integer number (35494018560).

Almost surely, 2^{12131201202120} is an apocalyptic number.

12131201202120 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 12131201202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27259406254080).

12131201202120 is an abundant number, since it is smaller than the sum of its proper divisors (42387611306040).

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

12131201202120 is a wasteful number, since it uses less digits than its factorization.

12131201202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12131201202120 its reverse (2120210213121), we get a palindrome (14251411415241).

It can be divided in two parts, 12131201 and 202120, that added together give a palindrome (12333321).

The spelling of 12131201202120 in words is "twelve trillion, one hundred thirty-one billion, two hundred one million, two hundred two thousand, one hundred twenty".