127241712 has 160 divisors (see below), whose sum is σ = 398585600. Its totient is φ = 38631168.

The previous prime is 127241707. The next prime is 127241713. The reversal of 127241712 is 217142721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127241713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780543 + ... + 780705.

It is an arithmetic number, because the mean of its divisors is an integer number (2491160).

Almost surely, 2^127241712 is an apocalyptic number.

127241712 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 127241712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199292800).

127241712 is an abundant number, since it is smaller than the sum of its proper divisors (271343888).

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

127241712 is a wasteful number, since it uses less digits than its factorization.

127241712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 127241712 is about 11280.1468075553. The cubic root of 127241712 is about 502.9712576146.

The spelling of 127241712 in words is "one hundred twenty-seven million, two hundred forty-one thousand, seven hundred twelve".