12418144485120 has 1944 divisors, whose sum is σ = 52130907318672. Its totient is φ = 2705955225600.

The previous prime is 12418144485091. The next prime is 12418144485121. The reversal of 12418144485120 is 2158444181421.

12418144485120 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 8 + 1 + 44 + 485 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418144485121) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19373080000 + ... + 19373080640.

Almost surely, 2^{12418144485120} is an apocalyptic number.

12418144485120 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 12418144485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26065453659336).

12418144485120 is an abundant number, since it is smaller than the sum of its proper divisors (39712762833552).

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

12418144485120 is a wasteful number, since it uses less digits than its factorization.

12418144485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 12418144485120 in words is "twelve trillion, four hundred eighteen billion, one hundred forty-four million, four hundred eighty-five thousand, one hundred twenty".