30121122000000 has 896 divisors, whose sum is σ = 105063755166720. Its totient is φ = 7631219200000.

The previous prime is 30121121999981. The next prime is 30121122000001. The reversal of 30121122000000 is 22112103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 30121122000000.

It is not an unprimeable number, because it can be changed into a prime (30121122000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23045999347 + ... + 23046000653.

It is an arithmetic number, because the mean of its divisors is an integer number (117258655320).

Almost surely, 2^{30121122000000} is an apocalyptic number.

30121122000000 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 30121122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531877583360).

30121122000000 is an abundant number, since it is smaller than the sum of its proper divisors (74942633166720).

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

30121122000000 is an equidigital number, since it uses as much as digits as its factorization.

30121122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30121122000000 its reverse (22112103), we get a palindrome (30121144112103).

The spelling of 30121122000000 in words is "thirty trillion, one hundred twenty-one billion, one hundred twenty-two million", and thus it is an aban number.