12741300 has 270 divisors, whose sum is σ = 48890534. Its totient is φ = 2851200.

The previous prime is 12741299. The next prime is 12741317. The reversal of 12741300 is 314721.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 12702096 = 198^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 980094 + ... + 980106.

Almost surely, 2^12741300 is an apocalyptic number.

12741300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12741300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24445267).

12741300 is an abundant number, since it is smaller than the sum of its proper divisors (36149234).

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

12741300 is a wasteful number, since it uses less digits than its factorization.

12741300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12741300 is about 3569.4957627093. The cubic root of 12741300 is about 233.5632880398.

It can be divided in two parts, 12741 and 300, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12741300 in words is "twelve million, seven hundred forty-one thousand, three hundred".