127225200 has 120 divisors (see below), whose sum is σ = 412122928. Its totient is φ = 33546240.

The previous prime is 127225169. The next prime is 127225237. The reversal of 127225200 is 2522721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115854 + ... + 116946.

Almost surely, 2^127225200 is an apocalyptic number.

127225200 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 127225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206061464).

127225200 is an abundant number, since it is smaller than the sum of its proper divisors (284897728).

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

127225200 is a wasteful number, since it uses less digits than its factorization.

127225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 127225200 is about 11279.4148784412. The cubic root of 127225200 is about 502.9495000202.

Adding to 127225200 its reverse (2522721), we get a palindrome (129747921).

The spelling of 127225200 in words is "one hundred twenty-seven million, two hundred twenty-five thousand, two hundred".