12120012120024 has 384 divisors, whose sum is σ = 34695578810880. Its totient is φ = 3817281945600.

The previous prime is 12120012119909. The next prime is 12120012120067. The reversal of 12120012120024 is 42002121002121.

12120012120024 is a `hidden beast` number, since 121 + 200 + 121 + 200 + 24 = 666.

It is a super-3 number, since 3×12120012120024³ (a number of 40 digits) contains 333 as substring.

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 = 12120012119979 and 12120012120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12879927394 + ... + 12879928334.

It is an arithmetic number, because the mean of its divisors is an integer number (90353069820).

Almost surely, 2^{12120012120024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120012120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347789405440).

12120012120024 is an abundant number, since it is smaller than the sum of its proper divisors (22575566690856).

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

12120012120024 is a wasteful number, since it uses less digits than its factorization.

12120012120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12120012120024 its reverse (42002121002121), we get a palindrome (54122133122145).

The spelling of 12120012120024 in words is "twelve trillion, one hundred twenty billion, twelve million, one hundred twenty thousand, twenty-four".