127297512672 has 384 divisors, whose sum is σ = 402523914240. Its totient is φ = 34770954240.

The previous prime is 127297512647. The next prime is 127297512673. The reversal of 127297512672 is 276215792721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127297512673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102907638 + ... + 102908874.

It is an arithmetic number, because the mean of its divisors is an integer number (1048239360).

Almost surely, 2^127297512672 is an apocalyptic number.

127297512672 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 127297512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201261957120).

127297512672 is an abundant number, since it is smaller than the sum of its proper divisors (275226401568).

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

127297512672 is a wasteful number, since it uses less digits than its factorization.

127297512672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 127297512672 in words is "one hundred twenty-seven billion, two hundred ninety-seven million, five hundred twelve thousand, six hundred seventy-two".