312006420 has 72 divisors (see below), whose sum is σ = 1032464160. Its totient is φ = 75637440.

The previous prime is 312006419. The next prime is 312006421. The reversal of 312006420 is 24600213.

It is a happy number.

312006420 is a `hidden beast` number, since 3 + 1 + 20 + 0 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312006419) and next prime (312006421).

It is a super-2 number, since 2×312006420² = 194696012242432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312006393 and 312006402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312006421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76810 + ... + 80769.

It is an arithmetic number, because the mean of its divisors is an integer number (14339780).

Almost surely, 2^312006420 is an apocalyptic number.

312006420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312006420 is an abundant number, since it is smaller than the sum of its proper divisors (720457740).

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

312006420 is a wasteful number, since it uses less digits than its factorization.

312006420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157605 (or 157600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312006420 is about 17663.7034621848. The cubic root of 312006420 is about 678.2469406174.

Adding to 312006420 its reverse (24600213), we get a palindrome (336606633).

The spelling of 312006420 in words is "three hundred twelve million, six thousand, four hundred twenty".