81127941120 has 528 divisors, whose sum is σ = 293882516928. Its totient is φ = 21459271680.

The previous prime is 81127941113. The next prime is 81127941143. The reversal of 81127941120 is 2114972118.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245099355 + ... + 245099685.

It is an arithmetic number, because the mean of its divisors is an integer number (556595676).

Almost surely, 2^81127941120 is an apocalyptic number.

81127941120 is a gapful number since it is divisible by the number (80) 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 81127941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146941258464).

81127941120 is an abundant number, since it is smaller than the sum of its proper divisors (212754575808).

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

81127941120 is a wasteful number, since it uses less digits than its factorization.

81127941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 81127941120 in words is "eighty-one billion, one hundred twenty-seven million, nine hundred forty-one thousand, one hundred twenty".