12019187914272 has 384 divisors, whose sum is σ = 44259399475200. Its totient is φ = 3082348339200.

The previous prime is 12019187914249. The next prime is 12019187914273. The reversal of 12019187914272 is 27241978191021.

It is a happy number.

12019187914272 is a `hidden beast` number, since 1 + 20 + 19 + 187 + 9 + 1 + 427 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12019187914273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112272 + ... + 6399152.

It is an arithmetic number, because the mean of its divisors is an integer number (115258852800).

Almost surely, 2^{12019187914272} is an apocalyptic number.

12019187914272 is a gapful number since it is divisible by the number (12) 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 12019187914272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129699737600).

12019187914272 is an abundant number, since it is smaller than the sum of its proper divisors (32240211560928).

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

12019187914272 is a wasteful number, since it uses less digits than its factorization.

12019187914272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286997 (or 2286983 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 12019187914272 in words is "twelve trillion, nineteen billion, one hundred eighty-seven million, nine hundred fourteen thousand, two hundred seventy-two".