30123331122000 has 160 divisors (see below), whose sum is σ = 97173054276480. Its totient is φ = 8028303129600.

The previous prime is 30123331121971. The next prime is 30123331122077. The reversal of 30123331122000 is 22113332103.

It is a congruent number.

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, 9086011 + ... + 11949989.

It is an arithmetic number, because the mean of its divisors is an integer number (607331589228).

Almost surely, 2^{30123331122000} is an apocalyptic number.

30123331122000 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 30123331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48586527138240).

30123331122000 is an abundant number, since it is smaller than the sum of its proper divisors (67049723154480).

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

30123331122000 is a wasteful number, since it uses less digits than its factorization.

30123331122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865758 (or 2865742 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30123331122000 its reverse (22113332103), we get a palindrome (30145444454103).

The spelling of 30123331122000 in words is "thirty trillion, one hundred twenty-three billion, three hundred thirty-one million, one hundred twenty-two thousand".