12852726904900 has 81 divisors (see below), whose sum is σ = 28052150231287. Its totient is φ = 5111449403200.

The previous prime is 12852726904889. The next prime is 12852726904939. The reversal of 12852726904900 is 940962725821.

It is a happy number.

The square root of 12852726904900 is 3585070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2738847556 + 12849988057344 = 52334^2 + 3584688^2 .

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 26 ways as a sum of consecutive naturals, for example, 6847482762 + ... + 6847484638.

Almost surely, 2^{12852726904900} is an apocalyptic number.

12852726904900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12852726904900 is the 3585070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12852726904900

12852726904900 is an abundant number, since it is smaller than the sum of its proper divisors (15199423326387).

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

12852726904900 is an frugal number, since it uses more digits than its factorization.

12852726904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 12852726904900 in words is "twelve trillion, eight hundred fifty-two billion, seven hundred twenty-six million, nine hundred four thousand, nine hundred".