312141433102320 has 80 divisors (see below), whose sum is σ = 974599870366080. Its totient is φ = 82638882999552.

The previous prime is 312141433102309. The next prime is 312141433102321. The reversal of 312141433102320 is 23201334141213.

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

It is a super-2 number, since 2×312141433102320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141433102321) 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, 4678345434 + ... + 4678412153.

It is an arithmetic number, because the mean of its divisors is an integer number (12182498379576).

Almost surely, 2^{312141433102320} is an apocalyptic number.

312141433102320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312141433102320 is an abundant number, since it is smaller than the sum of its proper divisors (662458437263760).

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

312141433102320 is a wasteful number, since it uses less digits than its factorization.

312141433102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356757742 (or 9356757736 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312141433102320 its reverse (23201334141213), we get a palindrome (335342767243533).

The spelling of 312141433102320 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred two thousand, three hundred twenty".