12443951520 has 1152 divisors, whose sum is σ = 58250949120. Its totient is φ = 2335703040.

The previous prime is 12443951519. The next prime is 12443951539. The reversal of 12443951520 is 2515934421.

12443951520 is a `hidden beast` number, since 1 + 2 + 4 + 43 + 95 + 1 + 520 = 666.

12443951520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12443951520² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128288112 + ... + 128288208.

It is an arithmetic number, because the mean of its divisors is an integer number (50565060).

Almost surely, 2^12443951520 is an apocalyptic number.

12443951520 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 12443951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125474560).

12443951520 is an abundant number, since it is smaller than the sum of its proper divisors (45806997600).

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

12443951520 is a wasteful number, since it uses less digits than its factorization.

12443951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12443951520 in words is "twelve billion, four hundred forty-three million, nine hundred fifty-one thousand, five hundred twenty".