312202030030000 has 200 divisors, whose sum is σ = 830520330171840. Its totient is φ = 112711257120000.

The previous prime is 312202030029949. The next prime is 312202030030013. The reversal of 312202030030000 is 30030202213.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 5080647 + ... + 25499353.

Almost surely, 2^{312202030030000} 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 312202030030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415260165085920).

312202030030000 is an abundant number, since it is smaller than the sum of its proper divisors (518318300141840).

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

312202030030000 is a wasteful number, since it uses less digits than its factorization.

312202030030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418885 (or 20418864 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 312202030030000 its reverse (30030202213), we get a palindrome (312232060232213).

The spelling of 312202030030000 in words is "three hundred twelve trillion, two hundred two billion, thirty million, thirty thousand".