71114120 has 96 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 22154880.

The previous prime is 71114117. The next prime is 71114123. The reversal of 71114120 is 2141117.

It is an interprime number because it is at equal distance from previous prime (71114117) and next prime (71114123).

It is not an unprimeable number, because it can be changed into a prime (71114123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32831 + ... + 34929.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2^71114120 is an apocalyptic number.

71114120 is a gapful number since it is divisible by the number (70) 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 71114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

71114120 is an abundant number, since it is smaller than the sum of its proper divisors (129981880).

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

71114120 is a wasteful number, since it uses less digits than its factorization.

71114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 71114120 is about 8432.9188303932. The cubic root of 71114120 is about 414.3035107015.

Adding to 71114120 its reverse (2141117), we get a palindrome (73255237).

The spelling of 71114120 in words is "seventy-one million, one hundred fourteen thousand, one hundred twenty".