12727241620600 has 192 divisors, whose sum is σ = 33750311091840. Its totient is φ = 4421716992000.

The previous prime is 12727241620531. The next prime is 12727241620609. The reversal of 12727241620600 is 602614272721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12727241620609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180875425 + ... + 180945775.

It is an arithmetic number, because the mean of its divisors is an integer number (175782870270).

Almost surely, 2^{12727241620600} is an apocalyptic number.

12727241620600 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 12727241620600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875155545920).

12727241620600 is an abundant number, since it is smaller than the sum of its proper divisors (21023069471240).

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

12727241620600 is a wasteful number, since it uses less digits than its factorization.

12727241620600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74490 (or 74481 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 12727241620600 in words is "twelve trillion, seven hundred twenty-seven billion, two hundred forty-one million, six hundred twenty thousand, six hundred".