11301220012320 has 1152 divisors, whose sum is σ = 50205185372160. Its totient is φ = 2340757647360.

The previous prime is 11301220012219. The next prime is 11301220012321. The reversal of 11301220012320 is 2321002210311.

11301220012320 is a `hidden beast` number, since 1 + 1 + 301 + 220 + 0 + 123 + 20 = 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 = 11301220012293 and 11301220012302.

It is not an unprimeable number, because it can be changed into a prime (11301220012321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118886410 + ... + 118981430.

It is an arithmetic number, because the mean of its divisors is an integer number (43580890080).

Almost surely, 2^{11301220012320} is an apocalyptic number.

11301220012320 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 11301220012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25102592686080).

11301220012320 is an abundant number, since it is smaller than the sum of its proper divisors (38903965359840).

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

11301220012320 is a wasteful number, since it uses less digits than its factorization.

11301220012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95100 (or 95080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11301220012320 its reverse (2321002210311), we get a palindrome (13622222222631).

The spelling of 11301220012320 in words is "eleven trillion, three hundred one billion, two hundred twenty million, twelve thousand, three hundred twenty".