12146308773120 has 1296 divisors, whose sum is σ = 46987799040000. Its totient is φ = 2890666082304.

The previous prime is 12146308773119. The next prime is 12146308773127. The reversal of 12146308773120 is 2137780364121.

12146308773120 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 630 + 8 + 7 + 7 + 3 + 1 + 2 + 0 = 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 (12146308773127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9724826256 + ... + 9724827504.

Almost surely, 2^{12146308773120} is an apocalyptic number.

12146308773120 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 12146308773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23493899520000).

12146308773120 is an abundant number, since it is smaller than the sum of its proper divisors (34841490266880).

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

12146308773120 is a wasteful number, since it uses less digits than its factorization.

12146308773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12146308773120 in words is "twelve trillion, one hundred forty-six billion, three hundred eight million, seven hundred seventy-three thousand, one hundred twenty".