12147426873120 has 1728 divisors, whose sum is σ = 51898907160576. Its totient is φ = 2360972759040.

The previous prime is 12147426873107. The next prime is 12147426873151. The reversal of 12147426873120 is 2137862474121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12147426873120.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7752026577 + ... + 7752028143.

It is an arithmetic number, because the mean of its divisors is an integer number (30034089792).

Almost surely, 2^{12147426873120} is an apocalyptic number.

12147426873120 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 12147426873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25949453580288).

12147426873120 is an abundant number, since it is smaller than the sum of its proper divisors (39751480287456).

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

12147426873120 is a wasteful number, since it uses less digits than its factorization.

12147426873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 12147426873120 in words is "twelve trillion, one hundred forty-seven billion, four hundred twenty-six million, eight hundred seventy-three thousand, one hundred twenty".