312120300 has 72 divisors (see below), whose sum is σ = 912097872. Its totient is φ = 82400000.

The previous prime is 312120293. The next prime is 312120311. The reversal of 312120300 is 3021213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25150 + ... + 35450.

It is an arithmetic number, because the mean of its divisors is an integer number (12668026).

Almost surely, 2^312120300 is an apocalyptic number.

312120300 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 312120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456048936).

312120300 is an abundant number, since it is smaller than the sum of its proper divisors (599977572).

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

312120300 is a wasteful number, since it uses less digits than its factorization.

312120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312120300 is about 17666.9267276456. The cubic root of 312120300 is about 678.3294489264.

Adding to 312120300 its reverse (3021213), we get a palindrome (315141513).

It can be divided in two parts, 3 and 12120300, that multiplied together give a square (36360900 = 6030²).

The spelling of 312120300 in words is "three hundred twelve million, one hundred twenty thousand, three hundred".