30220312320 has 216 divisors, whose sum is σ = 114064986672. Its totient is φ = 7326105600.

The previous prime is 30220312303. The next prime is 30220312333. The reversal of 30220312320 is 2321302203.

It is a happy number.

30220312320 is a `hidden beast` number, since 30 + 2 + 2 + 0 + 312 + 320 = 666.

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 = 30220312293 and 30220312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7480 + ... + 245960.

It is an arithmetic number, because the mean of its divisors is an integer number (528078642).

Almost surely, 2^30220312320 is an apocalyptic number.

30220312320 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 30220312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57032493336).

30220312320 is an abundant number, since it is smaller than the sum of its proper divisors (83844674352).

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

30220312320 is a wasteful number, since it uses less digits than its factorization.

30220312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238519 (or 238502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30220312320 its reverse (2321302203), we get a palindrome (32541614523).

The spelling of 30220312320 in words is "thirty billion, two hundred twenty million, three hundred twelve thousand, three hundred twenty".