127812048 has 160 divisors (see below), whose sum is σ = 420806400. Its totient is φ = 32514048.

The previous prime is 127812037. The next prime is 127812053. The reversal of 127812048 is 840218721.

It is a happy number.

It is a super-2 number, since 2×127812048² = 32671839227908608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126168 + ... + 127176.

It is an arithmetic number, because the mean of its divisors is an integer number (2630040).

Almost surely, 2^127812048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127812048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210403200).

127812048 is an abundant number, since it is smaller than the sum of its proper divisors (292994352).

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

127812048 is a wasteful number, since it uses less digits than its factorization.

127812048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 127812048 is about 11305.3990641640. The cubic root of 127812048 is about 503.7216275810.

It can be divided in two parts, 127 and 812048, that added together give a triangular number (812175 = T₁₂₇₄).

The spelling of 127812048 in words is "one hundred twenty-seven million, eight hundred twelve thousand, forty-eight".