312006606150200 has 144 divisors (see below), whose sum is σ = 786270917516400. Its totient is φ = 115090687795200.

The previous prime is 312006606150193. The next prime is 312006606150229. The reversal of 312006606150200 is 2051606600213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30371096 + ... + 39324504.

It is an arithmetic number, because the mean of its divisors is an integer number (5460214704975).

Almost surely, 2^{312006606150200} 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 312006606150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393135458758200).

312006606150200 is an abundant number, since it is smaller than the sum of its proper divisors (474264311366200).

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

312006606150200 is a wasteful number, since it uses less digits than its factorization.

312006606150200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954482 (or 8954460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 312006606150200 in words is "three hundred twelve trillion, six billion, six hundred six million, one hundred fifty thousand, two hundred".