12148817148000 has 864 divisors, whose sum is σ = 46823723436672. Its totient is φ = 2981781504000.

The previous prime is 12148817147969. The next prime is 12148817148011. The reversal of 12148817148000 is 84171884121.

12148817148000 is a `hidden beast` number, since 1 + 21 + 4 + 8 + 81 + 71 + 480 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2232825280 + ... + 2232830720.

It is an arithmetic number, because the mean of its divisors is an integer number (54194124348).

Almost surely, 2^{12148817148000} is an apocalyptic number.

12148817148000 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 12148817148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23411861718336).

12148817148000 is an abundant number, since it is smaller than the sum of its proper divisors (34674906288672).

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

12148817148000 is a wasteful number, since it uses less digits than its factorization.

12148817148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 12148817148000 in words is "twelve trillion, one hundred forty-eight billion, eight hundred seventeen million, one hundred forty-eight thousand".