30222113311320 has 384 divisors, whose sum is σ = 106330040893440. Its totient is φ = 6851717268480.

The previous prime is 30222113311303. The next prime is 30222113311321. The reversal of 30222113311320 is 2311331122203.

It is a super-2 number, since 2×30222113311320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222113311321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407582169 + ... + 407656311.

It is an arithmetic number, because the mean of its divisors is an integer number (276901148160).

Almost surely, 2^{30222113311320} is an apocalyptic number.

30222113311320 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 30222113311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53165020446720).

30222113311320 is an abundant number, since it is smaller than the sum of its proper divisors (76107927582120).

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

30222113311320 is a wasteful number, since it uses less digits than its factorization.

30222113311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74735 (or 74724 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 30222113311320 its reverse (2311331122203), we get a palindrome (32533444433523).

The spelling of 30222113311320 in words is "thirty trillion, two hundred twenty-two billion, one hundred thirteen million, three hundred eleven thousand, three hundred twenty".