312050000 has 90 divisors (see below), whose sum is σ = 765384606. Its totient is φ = 123240000.

The previous prime is 312049987. The next prime is 312050027. The reversal of 312050000 is 50213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 144192064 + 167857936 = 12008^2 + 12956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3949961 + ... + 3950039.

Almost surely, 2^312050000 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 312050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382692303).

312050000 is an abundant number, since it is smaller than the sum of its proper divisors (453334606).

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

312050000 is an frugal number, since it uses more digits than its factorization.

312050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 312050000 is about 17664.9370222483. The cubic root of 312050000 is about 678.2785175591.

The spelling of 312050000 in words is "three hundred twelve million, fifty thousand".