127212800 has 216 divisors, whose sum is σ = 372580320. Its totient is φ = 42393600.

The previous prime is 127212797. The next prime is 127212859. The reversal of 127212800 is 8212721.

It is a congruent number.

It is an unprimeable number.

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, 915131 + ... + 915269.

Almost surely, 2^127212800 is an apocalyptic number.

127212800 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 127212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186290160).

127212800 is an abundant number, since it is smaller than the sum of its proper divisors (245367520).

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

127212800 is a wasteful number, since it uses less digits than its factorization.

127212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 127212800 is about 11278.8651911440. The cubic root of 127212800 is about 502.9331595037.

The spelling of 127212800 in words is "one hundred twenty-seven million, two hundred twelve thousand, eight hundred".