312250120 has 128 divisors (see below), whose sum is σ = 873734400. Its totient is φ = 97790976.

The previous prime is 312250111. The next prime is 312250121. The reversal of 312250120 is 21052213.

It is a super-3 number, since 3×312250120³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312250094 and 312250103.

It is not an unprimeable number, because it can be changed into a prime (312250121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396367 + ... + 397153.

It is an arithmetic number, because the mean of its divisors is an integer number (6826050).

Almost surely, 2^312250120 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 312250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436867200).

312250120 is an abundant number, since it is smaller than the sum of its proper divisors (561484280).

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

312250120 is a wasteful number, since it uses less digits than its factorization.

312250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 312250120 is about 17670.6004425430. The cubic root of 312250120 is about 678.4234816042.

The spelling of 312250120 in words is "three hundred twelve million, two hundred fifty thousand, one hundred twenty".