312132000 has 288 divisors, whose sum is σ = 1106239680. Its totient is φ = 76723200.

The previous prime is 312131993. The next prime is 312132001. The reversal of 312132000 is 231213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (312132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8435982 + ... + 8436018.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^312132000 is an apocalyptic number.

312132000 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 312132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553119840).

312132000 is an abundant number, since it is smaller than the sum of its proper divisors (794107680).

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

312132000 is a wasteful number, since it uses less digits than its factorization.

312132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 66 counting only the distinct ones).

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

The square root of 312132000 is about 17667.2578517437. The cubic root of 312132000 is about 678.3379246705.

Adding to 312132000 its reverse (231213), we get a palindrome (312363213).

The spelling of 312132000 in words is "three hundred twelve million, one hundred thirty-two thousand".