30312330213120 has 288 divisors, whose sum is σ = 98090639055360. Its totient is φ = 7977056747520.

The previous prime is 30312330213107. The next prime is 30312330213169. The reversal of 30312330213120 is 2131203321303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88967890 + ... + 89307950.

It is an arithmetic number, because the mean of its divisors is an integer number (340592496720).

Almost surely, 2^{30312330213120} is an apocalyptic number.

30312330213120 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 30312330213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49045319527680).

30312330213120 is an abundant number, since it is smaller than the sum of its proper divisors (67778308842240).

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

30312330213120 is a wasteful number, since it uses less digits than its factorization.

30312330213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340391 (or 340377 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 30312330213120 its reverse (2131203321303), we get a palindrome (32443533534423).

The spelling of 30312330213120 in words is "thirty trillion, three hundred twelve billion, three hundred thirty million, two hundred thirteen thousand, one hundred twenty".