12674188800000 has 3744 divisors, whose sum is σ = 59954282680320. Its totient is φ = 2587852800000.

The previous prime is 12674188799971. The next prime is 12674188800017. The reversal of 12674188800000 is 888147621.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 408844799985 + ... + 408844800015.

Almost surely, 2^{12674188800000} is an apocalyptic number.

12674188800000 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 12674188800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29977141340160).

12674188800000 is an abundant number, since it is smaller than the sum of its proper divisors (47280093880320).

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

12674188800000 is an frugal number, since it uses more digits than its factorization.

12674188800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12674188800000 in words is "twelve trillion, six hundred seventy-four billion, one hundred eighty-eight million, eight hundred thousand".