127409540112 has 160 divisors (see below), whose sum is σ = 367695216000. Its totient is φ = 42240337920.

The previous prime is 127409540077. The next prime is 127409540117. The reversal of 127409540112 is 211045904721.

127409540112 is a `hidden beast` number, since 127 + 40 + 95 + 401 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127409540117) 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, 74031412 + ... + 74033132.

It is an arithmetic number, because the mean of its divisors is an integer number (2298095100).

Almost surely, 2^127409540112 is an apocalyptic number.

127409540112 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 127409540112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183847608000).

127409540112 is an abundant number, since it is smaller than the sum of its proper divisors (240285675888).

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

127409540112 is a wasteful number, since it uses less digits than its factorization.

127409540112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 127409540112 in words is "one hundred twenty-seven billion, four hundred nine million, five hundred forty thousand, one hundred twelve".