30422212413120 has 336 divisors, whose sum is σ = 114257198764800. Its totient is φ = 7368313497600.

The previous prime is 30422212413113. The next prime is 30422212413127. The reversal of 30422212413120 is 2131421222403.

30422212413120 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 221 + 2 + 413 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (30422212413113) and next prime (30422212413127).

It is a super-2 number, since 2×30422212413120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30422212413127) 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, 34122781 + ... + 35002979.

It is an arithmetic number, because the mean of its divisors is an integer number (340051186800).

Almost surely, 2^{30422212413120} is an apocalyptic number.

30422212413120 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 30422212413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57128599382400).

30422212413120 is an abundant number, since it is smaller than the sum of its proper divisors (83834986351680).

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

30422212413120 is a wasteful number, since it uses less digits than its factorization.

30422212413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881324 (or 881311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30422212413120 its reverse (2131421222403), we get a palindrome (32553633635523).

The spelling of 30422212413120 in words is "thirty trillion, four hundred twenty-two billion, two hundred twelve million, four hundred thirteen thousand, one hundred twenty".