30122213221200 has 480 divisors, whose sum is σ = 102573984844800. Its totient is φ = 7539795394560.

The previous prime is 30122213221157. The next prime is 30122213221249. The reversal of 30122213221200 is 212231222103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939570771 + ... + 939602829.

It is an arithmetic number, because the mean of its divisors is an integer number (213695801760).

Almost surely, 2^{30122213221200} is an apocalyptic number.

30122213221200 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 30122213221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51286992422400).

30122213221200 is an abundant number, since it is smaller than the sum of its proper divisors (72451771623600).

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

30122213221200 is a wasteful number, since it uses less digits than its factorization.

30122213221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32739 (or 32728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 30122213221200 its reverse (212231222103), we get a palindrome (30334444443303).

The spelling of 30122213221200 in words is "thirty trillion, one hundred twenty-two billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred".