127224240 has 240 divisors, whose sum is σ = 468240864. Its totient is φ = 28385280.

The previous prime is 127224233. The next prime is 127224257. The reversal of 127224240 is 42422721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 127224240.

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 47 ways as a sum of consecutive naturals, for example, 377352 + ... + 377688.

Almost surely, 2^127224240 is an apocalyptic number.

127224240 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 127224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120432).

127224240 is an abundant number, since it is smaller than the sum of its proper divisors (341016624).

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

127224240 is a wasteful number, since it uses less digits than its factorization.

127224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 127224240 is about 11279.3723229619. The cubic root of 127224240 is about 502.9482349858.

Adding to 127224240 its reverse (42422721), we get a palindrome (169646961).

The spelling of 127224240 in words is "one hundred twenty-seven million, two hundred twenty-four thousand, two hundred forty".