12675271734000 has 480 divisors, whose sum is σ = 44974449486720. Its totient is φ = 3326496768000.

The previous prime is 12675271733987. The next prime is 12675271734001. The reversal of 12675271734000 is 43717257621.

12675271734000 is a `hidden beast` number, since 1 + 2 + 6 + 75 + 2 + 7 + 173 + 400 + 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 (12675271734001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 737397406 + ... + 737414594.

It is an arithmetic number, because the mean of its divisors is an integer number (93696769764).

Almost surely, 2^{12675271734000} is an apocalyptic number.

12675271734000 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 12675271734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487224743360).

12675271734000 is an abundant number, since it is smaller than the sum of its proper divisors (32299177752720).

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

12675271734000 is a wasteful number, since it uses less digits than its factorization.

12675271734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17866 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12675271734000 in words is "twelve trillion, six hundred seventy-five billion, two hundred seventy-one million, seven hundred thirty-four thousand".