12015119952 has 180 divisors, whose sum is σ = 37346711220. Its totient is φ = 3602903040.

The previous prime is 12015119939. The next prime is 12015119957. The reversal of 12015119952 is 25991151021.

12015119952 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 511 + 99 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3404022336 + 8611097616 = 58344^2 + 92796^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015119957) 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 35 ways as a sum of consecutive naturals, for example, 1686574 + ... + 1693682.

It is an arithmetic number, because the mean of its divisors is an integer number (207481729).

Almost surely, 2^12015119952 is an apocalyptic number.

12015119952 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 12015119952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673355610).

12015119952 is an abundant number, since it is smaller than the sum of its proper divisors (25331591268).

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

12015119952 is a wasteful number, since it uses less digits than its factorization.

12015119952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 12015119952 in words is "twelve billion, fifteen million, one hundred nineteen thousand, nine hundred fifty-two".