312204000 has 96 divisors (see below), whose sum is σ = 1022819616. Its totient is φ = 83251200.

The previous prime is 312203989. The next prime is 312204017. The reversal of 312204000 is 402213.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009 + ... + 25008.

It is an arithmetic number, because the mean of its divisors is an integer number (10654371).

Almost surely, 2^312204000 is an apocalyptic number.

312204000 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 312204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511409808).

312204000 is an abundant number, since it is smaller than the sum of its proper divisors (710615616).

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

312204000 is a wasteful number, since it uses less digits than its factorization.

312204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26045 (or 26027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 312204000 is about 17669.2954019112. The cubic root of 312204000 is about 678.3900784342.

Adding to 312204000 its reverse (402213), we get a palindrome (312606213).

The spelling of 312204000 in words is "three hundred twelve million, two hundred four thousand".