127520410000 has 75 divisors (see below), whose sum is σ = 308826146343. Its totient is φ = 50993880000.

The previous prime is 127520409931. The next prime is 127520410037. The reversal of 127520410000 is 14025721.

It is a happy number.

The square root of 127520410000 is 357100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 9997600144 + 117522809856 = 99988^2 + 342816^2 .

It is a super-2 number, since 2×127520410000² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 35708215 + ... + 35711785.

Almost surely, 2^127520410000 is an apocalyptic number.

127520410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127520410000 is the 357100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127520410000

127520410000 is an abundant number, since it is smaller than the sum of its proper divisors (181305736343).

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

127520410000 is an frugal number, since it uses more digits than its factorization.

127520410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 127520410000 its reverse (14025721), we get a palindrome (127534435721).

The spelling of 127520410000 in words is "one hundred twenty-seven billion, five hundred twenty million, four hundred ten thousand".