312100133224 has 72 divisors (see below), whose sum is σ = 646034055030. Its totient is φ = 141244744960.

The previous prime is 312100133209. The next prime is 312100133231. The reversal of 312100133224 is 422331001213.

It can be written as a sum of positive squares in 3 ways, for example, as 273719405124 + 38380728100 = 523182^2 + 195910^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312100133195 and 312100133204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 297521052 + ... + 297522100.

Almost surely, 2^312100133224 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 312100133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323017027515).

312100133224 is an abundant number, since it is smaller than the sum of its proper divisors (333933921806).

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

312100133224 is a wasteful number, since it uses less digits than its factorization.

312100133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312100133224 its reverse (422331001213), we get a palindrome (734431134437).

The spelling of 312100133224 in words is "three hundred twelve billion, one hundred million, one hundred thirty-three thousand, two hundred twenty-four".