30123131322304 has 224 divisors, whose sum is σ = 65871737395200. Its totient is φ = 13610581770240.

The previous prime is 30123131322301. The next prime is 30123131322341. The reversal of 30123131322304 is 40322313132103.

30123131322304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30123131322301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846351549 + ... + 846387139.

Almost surely, 2^{30123131322304} is an apocalyptic number.

30123131322304 is a gapful number since it is divisible by the number (34) 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 30123131322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32935868697600).

30123131322304 is an abundant number, since it is smaller than the sum of its proper divisors (35748606072896).

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

30123131322304 is a wasteful number, since it uses less digits than its factorization.

30123131322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35971 (or 35961 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 30123131322304 its reverse (40322313132103), we get a palindrome (70445444454407).

The spelling of 30123131322304 in words is "thirty trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred four".