12052924416 has 480 divisors, whose sum is σ = 40622662080. Its totient is φ = 3547348992.

The previous prime is 12052924409. The next prime is 12052924423. The reversal of 12052924416 is 61442925021.

It is a happy number.

12052924416 is a `hidden beast` number, since 1 + 205 + 2 + 9 + 2 + 441 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12052924409) and next prime (12052924423).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524040181 + ... + 524040203.

It is an arithmetic number, because the mean of its divisors is an integer number (84630546).

Almost surely, 2^12052924416 is an apocalyptic number.

12052924416 is a gapful number since it is divisible by the number (16) 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 12052924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311331040).

12052924416 is an abundant number, since it is smaller than the sum of its proper divisors (28569737664).

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

12052924416 is an frugal number, since it uses more digits than its factorization.

12052924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12052924416 in words is "twelve billion, fifty-two million, nine hundred twenty-four thousand, four hundred sixteen".