12120000012120 has 1024 divisors, whose sum is σ = 51898226688000. Its totient is φ = 2180514816000.

The previous prime is 12120000012103. The next prime is 12120000012143. The reversal of 12120000012120 is 2121000002121.

12120000012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12120000012096 and 12120000012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 230483991 + ... + 230536569.

It is an arithmetic number, because the mean of its divisors is an integer number (50681862000).

Almost surely, 2^{12120000012120} is an apocalyptic number.

12120000012120 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 12120000012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25949113344000).

12120000012120 is an abundant number, since it is smaller than the sum of its proper divisors (39778226675880).

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

12120000012120 is a wasteful number, since it uses less digits than its factorization.

12120000012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52744 (or 52740 counting only the distinct ones).

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

Adding to 12120000012120 its reverse (2121000002121), we get a palindrome (14241000014241).

Subtracting from 12120000012120 its reverse (2121000002121), we obtain a palindrome (9999000009999).

It can be divided in two parts, 1212000001 and 2120, that added together give a palindrome (1212002121).

The spelling of 12120000012120 in words is "twelve trillion, one hundred twenty billion, twelve thousand, one hundred twenty".