2315121200 has 180 divisors, whose sum is σ = 6754938192. Its totient is φ = 746803200.

The previous prime is 2315121181. The next prime is 2315121203. The reversal of 2315121200 is 21215132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2315121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 807770 + ... + 810630.

Almost surely, 2^2315121200 is an apocalyptic number.

2315121200 is a gapful number since it is divisible by the number (20) 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 2315121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377469096).

2315121200 is an abundant number, since it is smaller than the sum of its proper divisors (4439816992).

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

2315121200 is a wasteful number, since it uses less digits than its factorization.

2315121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2315121200 is about 48115.7063753615. The cubic root of 2315121200 is about 1322.8925701386.

Adding to 2315121200 its reverse (21215132), we get a palindrome (2336336332).

The spelling of 2315121200 in words is "two billion, three hundred fifteen million, one hundred twenty-one thousand, two hundred".