30312230202000 has 120 divisors (see below), whose sum is σ = 105870516081720. Its totient is φ = 8083261382400.

The previous prime is 30312230201989. The next prime is 30312230202047. The reversal of 30312230202000 is 20203221303.

It is a happy number.

30312230202000 is a `hidden beast` number, since 30 + 312 + 2 + 302 + 0 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4183612070544 + 26128618131456 = 2045388^2 + 5111616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 841988395 + ... + 842024394.

It is an arithmetic number, because the mean of its divisors is an integer number (882254300681).

Almost surely, 2^{30312230202000} is an apocalyptic number.

30312230202000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30312230202000 is an abundant number, since it is smaller than the sum of its proper divisors (75558285879720).

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

30312230202000 is a wasteful number, since it uses less digits than its factorization.

30312230202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684012818 (or 1684012799 counting only the distinct ones).

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

Adding to 30312230202000 its reverse (20203221303), we get a palindrome (30332433423303).

The spelling of 30312230202000 in words is "thirty trillion, three hundred twelve billion, two hundred thirty million, two hundred two thousand".