127230048 has 144 divisors (see below), whose sum is σ = 408224880. Its totient is φ = 38522880.

The previous prime is 127230041. The next prime is 127230049. The reversal of 127230048 is 840032721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×127230048² = 32374970228164608, which contains 22 as substring.

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 (127230041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103936 + ... + 105152.

It is an arithmetic number, because the mean of its divisors is an integer number (2834895).

Almost surely, 2^127230048 is an apocalyptic number.

127230048 is a gapful number since it is divisible by the number (18) 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 127230048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204112440).

127230048 is an abundant number, since it is smaller than the sum of its proper divisors (280994832).

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

127230048 is a wasteful number, since it uses less digits than its factorization.

127230048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127230048 is about 11279.6297811586. The cubic root of 127230048 is about 502.9558883463.

Adding to 127230048 its reverse (840032721), we get a palindrome (967262769).

The spelling of 127230048 in words is "one hundred twenty-seven million, two hundred thirty thousand, forty-eight".