12963384220900 has 135 divisors (see below), whose sum is σ = 29022296684381. Its totient is φ = 5026025689920.

The previous prime is 12963384220807. The next prime is 12963384220901. The reversal of 12963384220900 is 902248336921.

The square root of 12963384220900 is 3600470.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3787417764 + 12959596803136 = 61542^2 + 3599944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12963384220901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49290434169 + ... + 49290434431.

Almost surely, 2^{12963384220900} is an apocalyptic number.

12963384220900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12963384220900 is the 3600470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12963384220900

12963384220900 is an abundant number, since it is smaller than the sum of its proper divisors (16058912463481).

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

12963384220900 is an frugal number, since it uses more digits than its factorization.

12963384220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 12963384220900 by its sum of digits (49), we get a square (635205826824100 = 25203290²).

The spelling of 12963384220900 in words is "twelve trillion, nine hundred sixty-three billion, three hundred eighty-four million, two hundred twenty thousand, nine hundred".