127420272000 has 768 divisors, whose sum is σ = 529617553920. Its totient is φ = 28754841600.

The previous prime is 127420271987. The next prime is 127420272017. The reversal of 127420272000 is 272024721.

127420272000 is a `hidden beast` number, since 12 + 7 + 420 + 27 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83663239 + ... + 83664761.

It is an arithmetic number, because the mean of its divisors is an integer number (689606190).

Almost surely, 2^127420272000 is an apocalyptic number.

127420272000 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 127420272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264808776960).

127420272000 is an abundant number, since it is smaller than the sum of its proper divisors (402197281920).

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

127420272000 is a wasteful number, since it uses less digits than its factorization.

127420272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 127420272000 its reverse (272024721), we get a palindrome (127692296721).

The spelling of 127420272000 in words is "one hundred twenty-seven billion, four hundred twenty million, two hundred seventy-two thousand".