30312212112000 has 3072 divisors, whose sum is σ = 139187941401600. Its totient is φ = 6151127040000.

The previous prime is 30312212111939. The next prime is 30312212112023. The reversal of 30312212112000 is 21121221303.

30312212112000 is a `hidden beast` number, since 3 + 0 + 31 + 221 + 211 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48969647691 + ... + 48969648309.

It is an arithmetic number, because the mean of its divisors is an integer number (45308574675).

Almost surely, 2^{30312212112000} is an apocalyptic number.

30312212112000 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 30312212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593970700800).

30312212112000 is an abundant number, since it is smaller than the sum of its proper divisors (108875729289600).

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

30312212112000 is a wasteful number, since it uses less digits than its factorization.

30312212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30312212112000 its reverse (21121221303), we get a palindrome (30333333333303).

The spelling of 30312212112000 in words is "thirty trillion, three hundred twelve billion, two hundred twelve million, one hundred twelve thousand".