12506199552 has 640 divisors, whose sum is σ = 47768371200. Its totient is φ = 3135283200.

The previous prime is 12506199527. The next prime is 12506199557. The reversal of 12506199552 is 25599160521.

12506199552 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 1 + 99 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12506199498 and 12506199507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506199557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32997699 + ... + 32998077.

It is an arithmetic number, because the mean of its divisors is an integer number (74638080).

Almost surely, 2^12506199552 is an apocalyptic number.

12506199552 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 12506199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23884185600).

12506199552 is an abundant number, since it is smaller than the sum of its proper divisors (35262171648).

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

12506199552 is a wasteful number, since it uses less digits than its factorization.

12506199552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 12506199552 in words is "twelve billion, five hundred six million, one hundred ninety-nine thousand, five hundred fifty-two".