127034712 has 96 divisors (see below), whose sum is σ = 395085600. Its totient is φ = 36122112.

The previous prime is 127034711. The next prime is 127034717. The reversal of 127034712 is 217430721.

It is a happy number.

It is a super-2 number, since 2×127034712² = 32275636105845888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127034711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135108 + ... + 136044.

It is an arithmetic number, because the mean of its divisors is an integer number (4115475).

Almost surely, 2^127034712 is an apocalyptic number.

127034712 is a gapful number since it is divisible by the number (12) 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 127034712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197542800).

127034712 is an abundant number, since it is smaller than the sum of its proper divisors (268050888).

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

127034712 is a wasteful number, since it uses less digits than its factorization.

127034712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 127034712 is about 11270.9676603209. The cubic root of 127034712 is about 502.6983608347.

The spelling of 127034712 in words is "one hundred twenty-seven million, thirty-four thousand, seven hundred twelve".