312222300 has 144 divisors (see below), whose sum is σ = 979937280. Its totient is φ = 76296960.

The previous prime is 312222233. The next prime is 312222301. The reversal of 312222300 is 3222213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312222301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869521 + ... + 869879.

It is an arithmetic number, because the mean of its divisors is an integer number (6805120).

Almost surely, 2^312222300 is an apocalyptic number.

312222300 is a gapful number since it is divisible by the number (30) 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 312222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489968640).

312222300 is an abundant number, since it is smaller than the sum of its proper divisors (667714980).

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

312222300 is a wasteful number, since it uses less digits than its factorization.

312222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 312222300 is about 17669.8132417974. The cubic root of 312222300 is about 678.4033329044.

Adding to 312222300 its reverse (3222213), we get a palindrome (315444513).

The spelling of 312222300 in words is "three hundred twelve million, two hundred twenty-two thousand, three hundred".