126271185600 has 1344 divisors, whose sum is σ = 528032203776. Its totient is φ = 25763512320.

The previous prime is 126271185589. The next prime is 126271185641. The reversal of 126271185600 is 6581172621.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 1301764752 + ... + 1301764848.

It is an arithmetic number, because the mean of its divisors is an integer number (392881104).

Almost surely, 2^126271185600 is an apocalyptic number.

126271185600 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 126271185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264016101888).

126271185600 is an abundant number, since it is smaller than the sum of its proper divisors (401761018176).

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

126271185600 is a wasteful number, since it uses less digits than its factorization.

126271185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 126271185600 in words is "one hundred twenty-six billion, two hundred seventy-one million, one hundred eighty-five thousand, six hundred".