12086046000 has 720 divisors, whose sum is σ = 50053992768. Its totient is φ = 2709504000.

The previous prime is 12086045999. The next prime is 12086046001. The reversal of 12086046000 is 64068021.

12086046000 is a `hidden beast` number, since 120 + 86 + 0 + 460 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12086045999) and next prime (12086046001).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (12086046001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62621904 + ... + 62622096.

Almost surely, 2^12086046000 is an apocalyptic number.

12086046000 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 12086046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026996384).

12086046000 is an abundant number, since it is smaller than the sum of its proper divisors (37967946768).

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

12086046000 is a wasteful number, since it uses less digits than its factorization.

12086046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12086046000 in words is "twelve billion, eighty-six million, forty-six thousand".