1082541127200 has 432 divisors, whose sum is σ = 4016421370080. Its totient is φ = 252445040640.

The previous prime is 1082541127117. The next prime is 1082541127231. The reversal of 1082541127200 is 27211452801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7636164 + ... + 7776636.

It is an arithmetic number, because the mean of its divisors is an integer number (9297271690).

Almost surely, 2^{1082541127200} is an apocalyptic number.

1082541127200 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 1082541127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008210685040).

1082541127200 is an abundant number, since it is smaller than the sum of its proper divisors (2933880242880).

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

1082541127200 is a wasteful number, since it uses less digits than its factorization.

1082541127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140541 (or 140515 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 1082541127200 in words is "one trillion, eighty-two billion, five hundred forty-one million, one hundred twenty-seven thousand, two hundred".