315215120 has 80 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 113932800.

The previous prime is 315215119. The next prime is 315215129. The reversal of 315215120 is 21512513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×315215120² = 198721143753228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 315215092 and 315215101.

It is not an unprimeable number, because it can be changed into a prime (315215129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158291 + ... + 160269.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2^315215120 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 315215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

315215120 is an abundant number, since it is smaller than the sum of its proper divisors (489108400).

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

315215120 is a wasteful number, since it uses less digits than its factorization.

315215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 315215120 is about 17754.2986344153. The cubic root of 315215120 is about 680.5640648468.

Adding to 315215120 its reverse (21512513), we get a palindrome (336727633).

The spelling of 315215120 in words is "three hundred fifteen million, two hundred fifteen thousand, one hundred twenty".