11312201220320 has 384 divisors, whose sum is σ = 35951494118400. Its totient is φ = 3248412180480.

The previous prime is 11312201220283. The next prime is 11312201220361. The reversal of 11312201220320 is 2302210221311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11312201220292 and 11312201220301.

It is a congruent number.

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, 83696156 + ... + 83831204.

It is an arithmetic number, because the mean of its divisors is an integer number (93623682600).

Almost surely, 2^{11312201220320} is an apocalyptic number.

11312201220320 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 11312201220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975747059200).

11312201220320 is an abundant number, since it is smaller than the sum of its proper divisors (24639292898080).

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

11312201220320 is a wasteful number, since it uses less digits than its factorization.

11312201220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135618 (or 135610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11312201220320 its reverse (2302210221311), we get a palindrome (13614411441631).

Subtracting from 11312201220320 its reverse (2302210221311), we obtain a palindrome (9009990999009).

The spelling of 11312201220320 in words is "eleven trillion, three hundred twelve billion, two hundred one million, two hundred twenty thousand, three hundred twenty".