12721262400 has 1134 divisors, whose sum is σ = 58200474150. Its totient is φ = 2625638400.

The previous prime is 12721262399. The next prime is 12721262423. The reversal of 12721262400 is 426212721.

12721262400 is a `hidden beast` number, since 1 + 27 + 2 + 12 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 12707601984 = 3696^2 + 112728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 85377526 + ... + 85377674.

Almost surely, 2^12721262400 is an apocalyptic number.

12721262400 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 12721262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100237075).

12721262400 is an abundant number, since it is smaller than the sum of its proper divisors (45479211750).

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

12721262400 is a wasteful number, since it uses less digits than its factorization.

12721262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12721262400 in words is "twelve billion, seven hundred twenty-one million, two hundred sixty-two thousand, four hundred".