312010414020200 has 144 divisors (see below), whose sum is σ = 872959468452300. Its totient is φ = 103286205926400.

The previous prime is 312010414020143. The next prime is 312010414020209. The reversal of 312010414020200 is 2020414010213.

It can be written as a sum of positive squares in 6 ways, for example, as 42011423750884 + 269998990269316 = 6481622^2 + 16431646^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312010414020209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548643341 + ... + 549211740.

Almost surely, 2^{312010414020200} is an apocalyptic number.

It is an amenable number.

312010414020200 is an abundant number, since it is smaller than the sum of its proper divisors (560949054432100).

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

312010414020200 is a wasteful number, since it uses less digits than its factorization.

312010414020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097855140 (or 1097855124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312010414020200 its reverse (2020414010213), we get a palindrome (314030828030413).

The spelling of 312010414020200 in words is "three hundred twelve trillion, ten billion, four hundred fourteen million, twenty thousand, two hundred".