127224000 has 448 divisors, whose sum is σ = 507187200. Its totient is φ = 31104000.

The previous prime is 127223989. The next prime is 127224007. The reversal of 127224000 is 422721.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127224007) 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 63 ways as a sum of consecutive naturals, for example, 4103985 + ... + 4104015.

Almost surely, 2^127224000 is an apocalyptic number.

127224000 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 127224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253593600).

127224000 is an abundant number, since it is smaller than the sum of its proper divisors (379963200).

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

127224000 is a wasteful number, since it uses less digits than its factorization.

127224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 127224000 is about 11279.3616840671. The cubic root of 127224000 is about 502.9479187263.

Adding to 127224000 its reverse (422721), we get a palindrome (127646721).

The spelling of 127224000 in words is "one hundred twenty-seven million, two hundred twenty-four thousand".