312421300 has 72 divisors (see below), whose sum is σ = 697455360. Its totient is φ = 121430400.

The previous prime is 312421253. The next prime is 312421309. The reversal of 312421300 is 3124213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312421309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560622 + ... + 561178.

It is an arithmetic number, because the mean of its divisors is an integer number (9686880).

Almost surely, 2^312421300 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 312421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

312421300 is an abundant number, since it is smaller than the sum of its proper divisors (385034060).

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

312421300 is a wasteful number, since it uses less digits than its factorization.

312421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312421300 is about 17675.4434173517. The cubic root of 312421300 is about 678.5474327882.

Adding to 312421300 its reverse (3124213), we get a palindrome (315545513).

Multiplying 312421300 by its reverse (3124213), we get a square (976070686936900 = 31242130²).

312421300 divided by its reverse (3124213) gives a square (100 = 10²).

The spelling of 312421300 in words is "three hundred twelve million, four hundred twenty-one thousand, three hundred".