12727021600 has 72 divisors (see below), whose sum is σ = 31088674260. Its totient is φ = 5087723520.

The previous prime is 12727021597. The next prime is 12727021603. The reversal of 12727021600 is 612072721.

It is an interprime number because it is at equal distance from previous prime (12727021597) and next prime (12727021603).

It can be written as a sum of positive squares in 6 ways, for example, as 406909584 + 12320112016 = 20172^2 + 110996^2 .

It is not an unprimeable number, because it can be changed into a prime (12727021603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1686636 + ... + 1694164.

Almost surely, 2^12727021600 is an apocalyptic number.

12727021600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12727021600 is an abundant number, since it is smaller than the sum of its proper divisors (18361652660).

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

12727021600 is a wasteful number, since it uses less digits than its factorization.

12727021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 12727021600 in words is "twelve billion, seven hundred twenty-seven million, twenty-one thousand, six hundred".