12989160900 has 243 divisors, whose sum is σ = 42490474663. Its totient is φ = 3318806400.

The previous prime is 12989160869. The next prime is 12989160941. The reversal of 12989160900 is 906198921.

The square root of 12989160900 is 113970.

It is a perfect power (a square), and thus also a powerful number.

12989160900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 178543044 + 12810617856 = 13362^2 + 113184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 99153835 + ... + 99153965.

Almost surely, 2^12989160900 is an apocalyptic number.

12989160900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12989160900 is the 113970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12989160900

12989160900 is an abundant number, since it is smaller than the sum of its proper divisors (29501313763).

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

12989160900 is a wasteful number, since it uses less digits than its factorization.

12989160900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

It can be divided in two parts, 12989 and 160900, that added together give a square (173889 = 417²).

The spelling of 12989160900 in words is "twelve billion, nine hundred eighty-nine million, one hundred sixty thousand, nine hundred".