30121221120 has 352 divisors, whose sum is σ = 98916280320. Its totient is φ = 7821066240.

The previous prime is 30121221101. The next prime is 30121221133. The reversal of 30121221120 is 2112212103.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30121221120.

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, 124984200 + ... + 124984440.

It is an arithmetic number, because the mean of its divisors is an integer number (281012160).

Almost surely, 2^30121221120 is an apocalyptic number.

30121221120 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 30121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49458140160).

30121221120 is an abundant number, since it is smaller than the sum of its proper divisors (68795059200).

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

30121221120 is a wasteful number, since it uses less digits than its factorization.

30121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

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

Adding to 30121221120 its reverse (2112212103), we get a palindrome (32233433223).

The spelling of 30121221120 in words is "thirty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".