312120450 has 36 divisors (see below), whose sum is σ = 838564818. Its totient is φ = 83232000.

The previous prime is 312120449. The next prime is 312120451. The reversal of 312120450 is 54021213.

312120450 is a `hidden beast` number, since 3 + 1 + 212 + 0 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (312120449) and next prime (312120451).

It can be written as a sum of positive squares in 3 ways, for example, as 215825481 + 96294969 = 14691^2 + 9813^2 .

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

It is not an unprimeable number, because it can be changed into a prime (312120451) 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 17 ways as a sum of consecutive naturals, for example, 346351 + ... + 347250.

Almost surely, 2^312120450 is an apocalyptic number.

312120450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312120450 is an abundant number, since it is smaller than the sum of its proper divisors (526444368).

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

312120450 is a wasteful number, since it uses less digits than its factorization.

312120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693619 (or 693611 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 312120450 is about 17666.9309728657. The cubic root of 312120450 is about 678.3295575911.

Adding to 312120450 its reverse (54021213), we get a palindrome (366141663).

The spelling of 312120450 in words is "three hundred twelve million, one hundred twenty thousand, four hundred fifty".