127224532000 has 384 divisors, whose sum is σ = 354515616000. Its totient is φ = 44579635200.

The previous prime is 127224531989. The next prime is 127224532009. The reversal of 127224532000 is 235422721.

It is a self number, because there is not a number n which added to its sum of digits gives 127224532000.

It is not an unprimeable number, because it can be changed into a prime (127224532009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76227166 + ... + 76228834.

It is an arithmetic number, because the mean of its divisors is an integer number (923217750).

Almost surely, 2^127224532000 is an apocalyptic number.

127224532000 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 127224532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177257808000).

127224532000 is an abundant number, since it is smaller than the sum of its proper divisors (227291084000).

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

127224532000 is a wasteful number, since it uses less digits than its factorization.

127224532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 127224532000 its reverse (235422721), we get a palindrome (127459954721).

The spelling of 127224532000 in words is "one hundred twenty-seven billion, two hundred twenty-four million, five hundred thirty-two thousand".