312231030030300 has 144 divisors (see below), whose sum is σ = 922704675121152. Its totient is φ = 81481676064000.

The previous prime is 312231030030299. The next prime is 312231030030317. The reversal of 312231030030300 is 3030030132213.

It is a super-2 number, since 2×312231030030300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136097725 + ... + 138372875.

It is an arithmetic number, because the mean of its divisors is an integer number (6407671355008).

Almost surely, 2^{312231030030300} is an apocalyptic number.

312231030030300 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 312231030030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461352337560576).

312231030030300 is an abundant number, since it is smaller than the sum of its proper divisors (610473645090852).

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

312231030030300 is a wasteful number, since it uses less digits than its factorization.

312231030030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284948 (or 2284941 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 312231030030300 its reverse (3030030132213), we get a palindrome (315261060162513).

The spelling of 312231030030300 in words is "three hundred twelve trillion, two hundred thirty-one billion, thirty million, thirty thousand, three hundred".