127341922500 has 675 divisors, whose sum is σ = 457954019523. Its totient is φ = 30831840000.

The previous prime is 127341922483. The next prime is 127341922501. The reversal of 127341922500 is 5229143721.

The square root of 127341922500 is 356850.

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

127341922500 is a `hidden beast` number, since 1 + 27 + 3 + 41 + 92 + 2 + 500 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 10574831556 + 116767090944 = 102834^2 + 341712^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127341922501) 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 224 ways as a sum of consecutive naturals, for example, 2087572470 + ... + 2087572530.

Almost surely, 2^127341922500 is an apocalyptic number.

127341922500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127341922500 is the 356850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127341922500

127341922500 is an abundant number, since it is smaller than the sum of its proper divisors (330612097023).

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

127341922500 is an equidigital number, since it uses as much as digits as its factorization.

127341922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 127341922500 by its sum of digits (36), we get a square (4584309210000 = 2141100²).

127341922500 divided by its sum of digits (36) gives a square (3537275625 = 59475²).

The spelling of 127341922500 in words is "one hundred twenty-seven billion, three hundred forty-one million, nine hundred twenty-two thousand, five hundred".