30201221101200 has 240 divisors, whose sum is σ = 98709121765440. Its totient is φ = 7890546493440.

The previous prime is 30201221101141. The next prime is 30201221101229. The reversal of 30201221101200 is 210112210203.

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

It is a super-2 number, since 2×30201221101200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30201221101200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44757519 + ... + 45427281.

It is an arithmetic number, because the mean of its divisors is an integer number (411288007356).

Almost surely, 2^{30201221101200} is an apocalyptic number.

30201221101200 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 30201221101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49354560882720).

30201221101200 is an abundant number, since it is smaller than the sum of its proper divisors (68507900664240).

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

30201221101200 is a wasteful number, since it uses less digits than its factorization.

30201221101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670546 (or 670535 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30201221101200 its reverse (210112210203), we get a palindrome (30411333311403).

The spelling of 30201221101200 in words is "thirty trillion, two hundred one billion, two hundred twenty-one million, one hundred one thousand, two hundred".