312001202200320 has 864 divisors, whose sum is σ = 1175326479774720. Its totient is φ = 76152067522560.

The previous prime is 312001202200313. The next prime is 312001202200367. The reversal of 312001202200320 is 23002202100213.

312001202200320 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 0 + 120 + 220 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312001202200293 and 312001202200302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 924161469 + ... + 924499011.

Almost surely, 2^{312001202200320} is an apocalyptic number.

312001202200320 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 312001202200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587663239887360).

312001202200320 is an abundant number, since it is smaller than the sum of its proper divisors (863325277574400).

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

312001202200320 is a wasteful number, since it uses less digits than its factorization.

312001202200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337733 (or 337716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312001202200320 its reverse (23002202100213), we get a palindrome (335003404300533).

The spelling of 312001202200320 in words is "three hundred twelve trillion, one billion, two hundred two million, two hundred thousand, three hundred twenty".