30331122120 has 192 divisors, whose sum is σ = 110774926080. Its totient is φ = 7141483008.

The previous prime is 30331122077. The next prime is 30331122121. The reversal of 30331122120 is 2122113303.

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

It is a junction number, because it is equal to n+sod(n) for n = 30331122093 and 30331122102.

It is not an unprimeable number, because it can be changed into a prime (30331122121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33252 + ... + 248531.

It is an arithmetic number, because the mean of its divisors is an integer number (576952740).

Almost surely, 2^30331122120 is an apocalyptic number.

30331122120 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 30331122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55387463040).

30331122120 is an abundant number, since it is smaller than the sum of its proper divisors (80443803960).

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

30331122120 is a wasteful number, since it uses less digits than its factorization.

30331122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281836 (or 281829 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30331122120 its reverse (2122113303), we get a palindrome (32453235423).

The spelling of 30331122120 in words is "thirty billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty".