312302120200320 has 128 divisors (see below), whose sum is σ = 1054019655786240. Its totient is φ = 78381708591104.

The previous prime is 312302120200319. The next prime is 312302120200321. The reversal of 312302120200320 is 23002021203213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312302120200319) and next prime (312302120200321).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×312302120200320² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312302120200321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4784007192 + ... + 4784072471.

It is an arithmetic number, because the mean of its divisors is an integer number (8234528560830).

Almost surely, 2^{312302120200320} is an apocalyptic number.

312302120200320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312302120200320 is an abundant number, since it is smaller than the sum of its proper divisors (741717535585920).

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

312302120200320 is a wasteful number, since it uses less digits than its factorization.

312302120200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568079702 (or 9568079690 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 312302120200320 its reverse (23002021203213), we get a palindrome (335304141403533).

The spelling of 312302120200320 in words is "three hundred twelve trillion, three hundred two billion, one hundred twenty million, two hundred thousand, three hundred twenty".