312312000 has 672 divisors, whose sum is σ = 1392228864. Its totient is φ = 59904000.

The previous prime is 312311983. The next prime is 312312001. The reversal of 312312000 is 213213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24023994 + ... + 24024006.

Almost surely, 2^312312000 is an apocalyptic number.

312312000 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 312312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696114432).

312312000 is an abundant number, since it is smaller than the sum of its proper divisors (1079916864).

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

312312000 is a wasteful number, since it uses less digits than its factorization.

312312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

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

The square root of 312312000 is about 17672.3512866851. The cubic root of 312312000 is about 678.4682940473.

Adding to 312312000 its reverse (213213), we get a palindrome (312525213).

The spelling of 312312000 in words is "three hundred twelve million, three hundred twelve thousand".