312220332000 has 240 divisors, whose sum is σ = 1145953881072. Its totient is φ = 83258668800.

The previous prime is 312220331971. The next prime is 312220332031. The reversal of 312220332000 is 233022213.

It is a happy number.

312220332000 is a `hidden beast` number, since 312 + 2 + 20 + 332 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×312220332000³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 157822 + ... + 805821.

Almost surely, 2^312220332000 is an apocalyptic number.

312220332000 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 312220332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572976940536).

312220332000 is an abundant number, since it is smaller than the sum of its proper divisors (833733549072).

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

312220332000 is an equidigital number, since it uses as much as digits as its factorization.

312220332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963680 (or 963653 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 312220332000 its reverse (233022213), we get a palindrome (312453354213).

The spelling of 312220332000 in words is "three hundred twelve billion, two hundred twenty million, three hundred thirty-two thousand".