127272249600 has 432 divisors, whose sum is σ = 430937043264. Its totient is φ = 33067008000.

The previous prime is 127272249571. The next prime is 127272249619. The reversal of 127272249600 is 6942272721.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184185255 + ... + 184185945.

It is an arithmetic number, because the mean of its divisors is an integer number (997539452).

Almost surely, 2^127272249600 is an apocalyptic number.

127272249600 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 127272249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215468521632).

127272249600 is an abundant number, since it is smaller than the sum of its proper divisors (303664793664).

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

127272249600 is a wasteful number, since it uses less digits than its factorization.

127272249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 127272249600 in words is "one hundred twenty-seven billion, two hundred seventy-two million, two hundred forty-nine thousand, six hundred".