12065007360 has 432 divisors, whose sum is σ = 46061670816. Its totient is φ = 2681634816.

The previous prime is 12065007359. The next prime is 12065007377. The reversal of 12065007360 is 6370056021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6961054 + ... + 6962786.

It is an arithmetic number, because the mean of its divisors is an integer number (106624238).

Almost surely, 2^12065007360 is an apocalyptic number.

12065007360 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 12065007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030835408).

12065007360 is an abundant number, since it is smaller than the sum of its proper divisors (33996663456).

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

12065007360 is a wasteful number, since it uses less digits than its factorization.

12065007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 12065007360 in words is "twelve billion, sixty-five million, seven thousand, three hundred sixty".