30112311222120 has 128 divisors (see below), whose sum is σ = 90886356426240. Its totient is φ = 7981139927040.

The previous prime is 30112311222101. The next prime is 30112311222143. The reversal of 30112311222120 is 2122211321103.

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 31 ways as a sum of consecutive naturals, for example, 69558577 + ... + 69990143.

It is an arithmetic number, because the mean of its divisors is an integer number (710049659580).

Almost surely, 2^{30112311222120} is an apocalyptic number.

30112311222120 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 30112311222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45443178213120).

30112311222120 is an abundant number, since it is smaller than the sum of its proper divisors (60774045204120).

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

30112311222120 is a wasteful number, since it uses less digits than its factorization.

30112311222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435115 (or 435111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 30112311222120 its reverse (2122211321103), we get a palindrome (32234522543223).

The spelling of 30112311222120 in words is "thirty trillion, one hundred twelve billion, three hundred eleven million, two hundred twenty-two thousand, one hundred twenty".