12013032122120 has 256 divisors, whose sum is σ = 30137293900800. Its totient is φ = 4286420582400.

The previous prime is 12013032122053. The next prime is 12013032122153. The reversal of 12013032122120 is 2122123031021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12013032122092 and 12013032122101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965904542 + ... + 965916978.

It is an arithmetic number, because the mean of its divisors is an integer number (117723804300).

Almost surely, 2^{12013032122120} is an apocalyptic number.

12013032122120 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 12013032122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068646950400).

12013032122120 is an abundant number, since it is smaller than the sum of its proper divisors (18124261778680).

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

12013032122120 is a wasteful number, since it uses less digits than its factorization.

12013032122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12013032122120 its reverse (2122123031021), we get a palindrome (14135155153141).

The spelling of 12013032122120 in words is "twelve trillion, thirteen billion, thirty-two million, one hundred twenty-two thousand, one hundred twenty".