127126701000 has 1152 divisors, whose sum is σ = 505025539200. Its totient is φ = 28735948800.

The previous prime is 127126700999. The next prime is 127126701007. The reversal of 127126701000 is 107621721.

It is a super-2 number, since 2×127126701000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127126701007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1531646959 + ... + 1531647041.

It is an arithmetic number, because the mean of its divisors is an integer number (438390225).

Almost surely, 2^127126701000 is an apocalyptic number.

127126701000 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 127126701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252512769600).

127126701000 is an abundant number, since it is smaller than the sum of its proper divisors (377898838200).

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

127126701000 is a wasteful number, since it uses less digits than its factorization.

127126701000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 127126701000 in words is "one hundred twenty-seven billion, one hundred twenty-six million, seven hundred one thousand".