12152340873216 has 288 divisors, whose sum is σ = 37902102940800. Its totient is φ = 3837560094720.

The previous prime is 12152340873187. The next prime is 12152340873247. The reversal of 12152340873216 is 61237804325121.

12152340873216 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 23 + 408 + 7 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67149571 + ... + 67330301.

It is an arithmetic number, because the mean of its divisors is an integer number (131604524100).

Almost surely, 2^{12152340873216} is an apocalyptic number.

12152340873216 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 12152340873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951051470400).

12152340873216 is an abundant number, since it is smaller than the sum of its proper divisors (25749762067584).

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

12152340873216 is an frugal number, since it uses more digits than its factorization.

12152340873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180793 (or 180755 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12152340873216 in words is "twelve trillion, one hundred fifty-two billion, three hundred forty million, eight hundred seventy-three thousand, two hundred sixteen".