127709120000 has 800 divisors, whose sum is σ = 408659986944. Its totient is φ = 38707200000.

The previous prime is 127709119957. The next prime is 127709120003. The reversal of 127709120000 is 21907721.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127709120003) 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, 1749439964 + ... + 1749440036.

Almost surely, 2^127709120000 is an apocalyptic number.

127709120000 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 127709120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204329993472).

127709120000 is an abundant number, since it is smaller than the sum of its proper divisors (280950866944).

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

127709120000 is an frugal number, since it uses more digits than its factorization.

127709120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The spelling of 127709120000 in words is "one hundred twenty-seven billion, seven hundred nine million, one hundred twenty thousand".