11301213221220 has 192 divisors, whose sum is σ = 34148157313536. Its totient is φ = 2776074301440.

The previous prime is 11301213221201. The next prime is 11301213221237. The reversal of 11301213221220 is 2212231210311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199572110 + ... + 1199581530.

It is an arithmetic number, because the mean of its divisors is an integer number (177854986008).

Almost surely, 2^{11301213221220} is an apocalyptic number.

11301213221220 is a gapful number since it is divisible by the number (10) 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 11301213221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074078656768).

11301213221220 is an abundant number, since it is smaller than the sum of its proper divisors (22846944092316).

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

11301213221220 is a wasteful number, since it uses less digits than its factorization.

11301213221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11301213221220 its reverse (2212231210311), we get a palindrome (13513444431531).

The spelling of 11301213221220 in words is "eleven trillion, three hundred one billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".