9212313600 has 1080 divisors, whose sum is σ = 41687488080. Its totient is φ = 1981808640.

The previous prime is 9212313599. The next prime is 9212313619. The reversal of 9212313600 is 63132129.

9212313600 is a `hidden beast` number, since 9 + 21 + 2 + 31 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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, 541900792 + ... + 541900808.

It is an arithmetic number, because the mean of its divisors is an integer number (38599526).

Almost surely, 2^9212313600 is an apocalyptic number.

9212313600 is a gapful number since it is divisible by the number (90) 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 9212313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843744040).

9212313600 is an abundant number, since it is smaller than the sum of its proper divisors (32475174480).

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

9212313600 is a wasteful number, since it uses less digits than its factorization.

9212313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9212313600 is about 95980.7980796159. The cubic root of 9212313600 is about 2096.3135323374.

Adding to 9212313600 its reverse (63132129), we get a palindrome (9275445729).

The spelling of 9212313600 in words is "nine billion, two hundred twelve million, three hundred thirteen thousand, six hundred".