127006000000 has 448 divisors, whose sum is σ = 361457873280. Its totient is φ = 44000000000.

The previous prime is 127005999959. The next prime is 127006000007. The reversal of 127006000000 is 600721.

It is a super-2 number, since 2×127006000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127006000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 505999875 + ... + 506000125.

It is an arithmetic number, because the mean of its divisors is an integer number (806825610).

Almost surely, 2^127006000000 is an apocalyptic number.

127006000000 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 127006000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180728936640).

127006000000 is an abundant number, since it is smaller than the sum of its proper divisors (234451873280).

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

127006000000 is an frugal number, since it uses more digits than its factorization.

127006000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 127006000000 its reverse (600721), we get a palindrome (127006600721).

The spelling of 127006000000 in words is "one hundred twenty-seven billion, six million", and thus it is an aban number.