12065460000 has 480 divisors, whose sum is σ = 43843415616. Its totient is φ = 2880000000.

The previous prime is 12065459993. The next prime is 12065460013. The reversal of 12065460000 is 6456021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66659910 + ... + 66660090.

Almost surely, 2^12065460000 is an apocalyptic number.

12065460000 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 12065460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921707808).

12065460000 is an abundant number, since it is smaller than the sum of its proper divisors (31777955616).

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

12065460000 is a wasteful number, since it uses less digits than its factorization.

12065460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12065460000 in words is "twelve billion, sixty-five million, four hundred sixty thousand".