7112968200 has 288 divisors, whose sum is σ = 25820613000. Its totient is φ = 1744404480.

The previous prime is 7112968103. The next prime is 7112968207. The reversal of 7112968200 is 28692117.

It can be written as a sum of positive squares in 12 ways, for example, as 1434742884 + 5678225316 = 37878^2 + 75354^2 .

It is a super-2 number, since 2×7112968200² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7112968207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10506262 + ... + 10506938.

Almost surely, 2^7112968200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7112968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910306500).

7112968200 is an abundant number, since it is smaller than the sum of its proper divisors (18707644800).

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

7112968200 is a wasteful number, since it uses less digits than its factorization.

7112968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7112968200 is about 84338.4147349237. The cubic root of 7112968200 is about 1923.1668116096.

The spelling of 7112968200 in words is "seven billion, one hundred twelve million, nine hundred sixty-eight thousand, two hundred".