127112720 has 160 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 40803840.

The previous prime is 127112719. The next prime is 127112731. The reversal of 127112720 is 27211721.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914411 + ... + 914549.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^127112720 is an apocalyptic number.

127112720 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 127112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

127112720 is an abundant number, since it is smaller than the sum of its proper divisors (232864240).

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

127112720 is a wasteful number, since it uses less digits than its factorization.

127112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 127112720 is about 11274.4277016618. The cubic root of 127112720 is about 502.8012368362.

Subtracting from 127112720 its reverse (27211721), we obtain a palindrome (99900999).

The spelling of 127112720 in words is "one hundred twenty-seven million, one hundred twelve thousand, seven hundred twenty".