30030122110320 has 240 divisors, whose sum is σ = 104358572454240. Its totient is φ = 7729686042624.

The previous prime is 30030122110319. The next prime is 30030122110321. The reversal of 30030122110320 is 2301122103003.

30030122110320 is a `hidden beast` number, since 30 + 0 + 301 + 2 + 2 + 1 + 10 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (30030122110319) and next prime (30030122110321).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 30030122110293 and 30030122110302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30030122110321) 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, 73565499 + ... + 73972581.

It is an arithmetic number, because the mean of its divisors is an integer number (434827385226).

Almost surely, 2^{30030122110320} is an apocalyptic number.

30030122110320 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 30030122110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52179286227120).

30030122110320 is an abundant number, since it is smaller than the sum of its proper divisors (74328450343920).

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

30030122110320 is a wasteful number, since it uses less digits than its factorization.

30030122110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410664 (or 410655 counting only the distinct ones).

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

Adding to 30030122110320 its reverse (2301122103003), we get a palindrome (32331244213323).

The spelling of 30030122110320 in words is "thirty trillion, thirty billion, one hundred twenty-two million, one hundred ten thousand, three hundred twenty".