7118133120 has 512 divisors, whose sum is σ = 29199744000. Its totient is φ = 1605132288.

The previous prime is 7118133119. The next prime is 7118133133. The reversal of 7118133120 is 213318117.

It is a happy number.

It is a super-2 number, since 2×7118133120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10039326 + ... + 10040034.

It is an arithmetic number, because the mean of its divisors is an integer number (57030750).

Almost surely, 2^7118133120 is an apocalyptic number.

7118133120 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 7118133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599872000).

7118133120 is an abundant number, since it is smaller than the sum of its proper divisors (22081610880).

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

7118133120 is a wasteful number, since it uses less digits than its factorization.

7118133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7118133120 is about 84369.0293887514. The cubic root of 7118133120 is about 1923.6321869265.

The spelling of 7118133120 in words is "seven billion, one hundred eighteen million, one hundred thirty-three thousand, one hundred twenty".