12071284992000 has 1152 divisors, whose sum is σ = 47012082324480. Its totient is φ = 2961594777600.

The previous prime is 12071284991989. The next prime is 12071284992059. The reversal of 12071284992000 is 29948217021.

12071284992000 is a `hidden beast` number, since 12 + 0 + 7 + 128 + 499 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13987583569 + ... + 13987584431.

It is an arithmetic number, because the mean of its divisors is an integer number (40809099240).

Almost surely, 2^{12071284992000} is an apocalyptic number.

12071284992000 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 12071284992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506041162240).

12071284992000 is an abundant number, since it is smaller than the sum of its proper divisors (34940797332480).

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

12071284992000 is a wasteful number, since it uses less digits than its factorization.

12071284992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12071284992000 in words is "twelve trillion, seventy-one billion, two hundred eighty-four million, nine hundred ninety-two thousand".