312201102208 has 64 divisors (see below), whose sum is σ = 631851358320. Its totient is φ = 153636618240.

The previous prime is 312201102203. The next prime is 312201102209. The reversal of 312201102208 is 802201102213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312201102203) 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 7 ways as a sum of consecutive naturals, for example, 2177835 + ... + 2316757.

Almost surely, 2^312201102208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312201102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315925679160).

312201102208 is an abundant number, since it is smaller than the sum of its proper divisors (319650256112).

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

312201102208 is a wasteful number, since it uses less digits than its factorization.

312201102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139215 (or 139203 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 312201102208 in words is "three hundred twelve billion, two hundred one million, one hundred two thousand, two hundred eight".