81141120 has 96 divisors (see below), whose sum is σ = 280210320. Its totient is φ = 21636096.

The previous prime is 81141113. The next prime is 81141149. The reversal of 81141120 is 2114118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 81141093 and 81141102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1284 + ... + 12803.

Almost surely, 2^81141120 is an apocalyptic number.

81141120 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 81141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140105160).

81141120 is an abundant number, since it is smaller than the sum of its proper divisors (199069200).

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

81141120 is a wasteful number, since it uses less digits than its factorization.

81141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 81141120 is about 9007.8365882158. The cubic root of 81141120 is about 432.9259972346.

Adding to 81141120 its reverse (2114118), we get a palindrome (83255238).

The spelling of 81141120 in words is "eighty-one million, one hundred forty-one thousand, one hundred twenty".