127249920000 has 1040 divisors, whose sum is σ = 540433006080. Its totient is φ = 28975104000.

The previous prime is 127249919981. The next prime is 127249920001. The reversal of 127249920000 is 29942721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127249920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483839869 + ... + 483840131.

Almost surely, 2^127249920000 is an apocalyptic number.

127249920000 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 127249920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270216503040).

127249920000 is an abundant number, since it is smaller than the sum of its proper divisors (413183086080).

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

127249920000 is an frugal number, since it uses more digits than its factorization.

127249920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 127249920000 in words is "one hundred twenty-seven billion, two hundred forty-nine million, nine hundred twenty thousand".