12959064016900 has 27 divisors (see below), whose sum is σ = 28121247034069. Its totient is φ = 5183611207280.

The previous prime is 12959064016889. The next prime is 12959064016903. The reversal of 12959064016900 is 961046095921.

It is a happy number.

The square root of 12959064016900 is 3599870.

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

It can be written as a sum of positive squares in only one way, i.e., 4665263046084 + 8293800970816 = 2159922^2 + 2879896^2 .

It is a super-2 number, since 2×12959064016900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12959064016903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35818707 + ... + 36178693.

Almost surely, 2^{12959064016900} is an apocalyptic number.

12959064016900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12959064016900 is the 3599870-th square number.

It is an amenable number.

12959064016900 is an abundant number, since it is smaller than the sum of its proper divisors (15162183017169).

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

12959064016900 is an frugal number, since it uses more digits than its factorization.

12959064016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719988 (or 359994 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 12959064016900 in words is "twelve trillion, nine hundred fifty-nine billion, sixty-four million, sixteen thousand, nine hundred".