315211200000 has 480 divisors, whose sum is σ = 1061997840288. Its totient is φ = 83066880000.

The previous prime is 315211199987. The next prime is 315211200011. The reversal of 315211200000 is 2112513.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 465599662 + ... + 465600338.

Almost surely, 2^315211200000 is an apocalyptic number.

315211200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530998920144).

315211200000 is an abundant number, since it is smaller than the sum of its proper divisors (746786640288).

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

315211200000 is an frugal number, since it uses more digits than its factorization.

315211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 315211200000 its reverse (2112513), we get a palindrome (315213312513).

The spelling of 315211200000 in words is "three hundred fifteen billion, two hundred eleven million, two hundred thousand".