7116211200 has 792 divisors, whose sum is σ = 28704900864. Its totient is φ = 1548288000.

The previous prime is 7116211199. The next prime is 7116211211. The reversal of 7116211200 is 21126117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116659170 + ... + 116659230.

Almost surely, 2^7116211200 is an apocalyptic number.

7116211200 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 7116211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352450432).

7116211200 is an abundant number, since it is smaller than the sum of its proper divisors (21588689664).

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

7116211200 is a wasteful number, since it uses less digits than its factorization.

7116211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 7116211200 is about 84357.6386582745. The cubic root of 7116211200 is about 1923.4590422784.

Adding to 7116211200 its reverse (21126117), we get a palindrome (7137337317).

The spelling of 7116211200 in words is "seven billion, one hundred sixteen million, two hundred eleven thousand, two hundred".