312241322000 has 160 divisors (see below), whose sum is σ = 776323312128. Its totient is φ = 121392000000.

The previous prime is 312241321981. The next prime is 312241322011. The reversal of 312241322000 is 223142213.

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

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 31 ways as a sum of consecutive naturals, for example, 22214975 + ... + 22229025.

Almost surely, 2^312241322000 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 312241322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388161656064).

312241322000 is an abundant number, since it is smaller than the sum of its proper divisors (464081990128).

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

312241322000 is a wasteful number, since it uses less digits than its factorization.

312241322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 14370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312241322000 its reverse (223142213), we get a palindrome (312464464213).

It can be divided in two parts, 3122413 and 22000, that added together give a palindrome (3144413).

The spelling of 312241322000 in words is "three hundred twelve billion, two hundred forty-one million, three hundred twenty-two thousand".