312113200 has 240 divisors, whose sum is σ = 929940480. Its totient is φ = 98242560.

The previous prime is 312113189. The next prime is 312113267. The reversal of 312113200 is 2311213.

It is a super-2 number, since 2×312113200² = 194829299228480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3760359 + ... + 3760441.

It is an arithmetic number, because the mean of its divisors is an integer number (3874752).

Almost surely, 2^312113200 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 312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

312113200 is an abundant number, since it is smaller than the sum of its proper divisors (617827280).

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

312113200 is a wasteful number, since it uses less digits than its factorization.

312113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312113200 is about 17666.7257860646. The cubic root of 312113200 is about 678.3243054228.

Adding to 312113200 its reverse (2311213), we get a palindrome (314424413).

The spelling of 312113200 in words is "three hundred twelve million, one hundred thirteen thousand, two hundred".