12123493171200 has 1224 divisors, whose sum is σ = 46310609695168. Its totient is φ = 3141732925440.

The previous prime is 12123493171123. The next prime is 12123493171211. The reversal of 12123493171200 is 217139432121.

12123493171200 is a `hidden beast` number, since 1 + 2 + 12 + 349 + 31 + 71 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14730853989 + ... + 14730854811.

Almost surely, 2^{12123493171200} is an apocalyptic number.

12123493171200 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 12123493171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155304847584).

12123493171200 is an abundant number, since it is smaller than the sum of its proper divisors (34187116523968).

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

12123493171200 is an frugal number, since it uses more digits than its factorization.

12123493171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12123493171200 in words is "twelve trillion, one hundred twenty-three billion, four hundred ninety-three million, one hundred seventy-one thousand, two hundred".