12015147312 has 400 divisors, whose sum is σ = 41050944000. Its totient is φ = 3391113600.

The previous prime is 12015147311. The next prime is 12015147349. The reversal of 12015147312 is 21374151021.

12015147312 is a `hidden beast` number, since 1 + 201 + 5 + 147 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12015147311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67123639 + ... + 67123817.

It is an arithmetic number, because the mean of its divisors is an integer number (102627360).

Almost surely, 2^12015147312 is an apocalyptic number.

12015147312 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 12015147312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525472000).

12015147312 is an abundant number, since it is smaller than the sum of its proper divisors (29035796688).

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

12015147312 is a wasteful number, since it uses less digits than its factorization.

12015147312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 12015147312 its reverse (21374151021), we get a palindrome (33389298333).

The spelling of 12015147312 in words is "twelve billion, fifteen million, one hundred forty-seven thousand, three hundred twelve".