12395520000 has 420 divisors, whose sum is σ = 44910881730. Its totient is φ = 3293184000.

The previous prime is 12395519993. The next prime is 12395520023. The reversal of 12395520000 is 2559321.

It can be written as a sum of positive squares in 5 ways, for example, as 291999744 + 12103520256 = 17088^2 + 110016^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 29 ways as a sum of consecutive naturals, for example, 46079866 + ... + 46080134.

Almost surely, 2^12395520000 is an apocalyptic number.

12395520000 is a gapful number since it is divisible by the number (10) 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 12395520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455440865).

12395520000 is an abundant number, since it is smaller than the sum of its proper divisors (32515361730).

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

12395520000 is an frugal number, since it uses more digits than its factorization.

12395520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 12395520000 in words is "twelve billion, three hundred ninety-five million, five hundred twenty thousand".