3012120231120 has 1600 divisors, whose sum is σ = 14113625670144. Its totient is φ = 574981079040.

The previous prime is 3012120231061. The next prime is 3012120231151. The reversal of 3012120231120 is 211320212103.

3012120231120 is a `hidden beast` number, since 30 + 121 + 202 + 311 + 2 + 0 = 666.

3012120231120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3012120231093 and 3012120231102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1511348844 + ... + 1511350836.

Almost surely, 2^{3012120231120} is an apocalyptic number.

3012120231120 is a gapful number since it is divisible by the number (30) 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 3012120231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056812835072).

3012120231120 is an abundant number, since it is smaller than the sum of its proper divisors (11101505439024).

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

3012120231120 is a wasteful number, since it uses less digits than its factorization.

3012120231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3012120231120 its reverse (211320212103), we get a palindrome (3223440443223).

The spelling of 3012120231120 in words is "three trillion, twelve billion, one hundred twenty million, two hundred thirty-one thousand, one hundred twenty".