82141120 has 56 divisors (see below), whose sum is σ = 196742304. Its totient is φ = 32664576.

The previous prime is 82141117. The next prime is 82141141. The reversal of 82141120 is 2114128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62389 + ... + 63691.

Almost surely, 2^82141120 is an apocalyptic number.

82141120 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 82141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98371152).

82141120 is an abundant number, since it is smaller than the sum of its proper divisors (114601184).

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

82141120 is a wasteful number, since it uses less digits than its factorization.

82141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 82141120 is about 9063.1738370176. The cubic root of 82141120 is about 434.6972306325.

Adding to 82141120 its reverse (2114128), we get a palindrome (84255248).

The spelling of 82141120 in words is "eighty-two million, one hundred forty-one thousand, one hundred twenty".