312148512 has 96 divisors (see below), whose sum is σ = 980501760. Its totient is φ = 96042240.

The previous prime is 312148477. The next prime is 312148519. The reversal of 312148512 is 215841213.

312148512 is a `hidden beast` number, since 3 + 1 + 2 + 148 + 512 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (312148519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (10213560).

Almost surely, 2^312148512 is an apocalyptic number.

312148512 is a gapful number since it is divisible by the number (32) 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 312148512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490250880).

312148512 is an abundant number, since it is smaller than the sum of its proper divisors (668353248).

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

312148512 is a wasteful number, since it uses less digits than its factorization.

312148512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27823 (or 27809 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 312148512 is about 17667.7251506808. The cubic root of 312148512 is about 678.3498859756.

Adding to 312148512 its reverse (215841213), we get a palindrome (527989725).

The spelling of 312148512 in words is "three hundred twelve million, one hundred forty-eight thousand, five hundred twelve".