30212012112000 has 512 divisors, whose sum is σ = 104556428121600. Its totient is φ = 7702629580800.

The previous prime is 30212012111971. The next prime is 30212012112013. The reversal of 30212012112000 is 21121021203.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 2968650912 + ... + 2968661088.

It is an arithmetic number, because the mean of its divisors is an integer number (204211773675).

Almost surely, 2^{30212012112000} is an apocalyptic number.

30212012112000 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 30212012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52278214060800).

30212012112000 is an abundant number, since it is smaller than the sum of its proper divisors (74344416009600).

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

30212012112000 is a wasteful number, since it uses less digits than its factorization.

30212012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30212012112000 its reverse (21121021203), we get a palindrome (30233133133203).

The spelling of 30212012112000 in words is "thirty trillion, two hundred twelve billion, twelve million, one hundred twelve thousand".