12159527440 has 80 divisors (see below), whose sum is σ = 30664131120. Its totient is φ = 4466032640.

The previous prime is 12159527407. The next prime is 12159527453. The reversal of 12159527440 is 4472595121.

It can be written as a sum of positive squares in 8 ways, for example, as 2757510144 + 9402017296 = 52512^2 + 96964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12159527440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12159527393 and 12159527402.

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, 53275 + ... + 164794.

It is an arithmetic number, because the mean of its divisors is an integer number (383301639).

Almost surely, 2^12159527440 is an apocalyptic number.

12159527440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12159527440 is an abundant number, since it is smaller than the sum of its proper divisors (18504603680).

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

12159527440 is a wasteful number, since it uses less digits than its factorization.

12159527440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218140 (or 218134 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 12159527440 in words is "twelve billion, one hundred fifty-nine million, five hundred twenty-seven thousand, four hundred forty".