11322400320 has 1344 divisors, whose sum is σ = 52828618752. Its totient is φ = 2239488000.

The previous prime is 11322400277. The next prime is 11322400343. The reversal of 11322400320 is 2300422311.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11322400320² (a number of 21 digits) contains 22 as substring.

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 = 11322400293 and 11322400302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185613090 + ... + 185613150.

It is an arithmetic number, because the mean of its divisors is an integer number (39307008).

Almost surely, 2^11322400320 is an apocalyptic number.

11322400320 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 11322400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26414309376).

11322400320 is an abundant number, since it is smaller than the sum of its proper divisors (41506218432).

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

11322400320 is a wasteful number, since it uses less digits than its factorization.

11322400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11322400320 its reverse (2300422311), we get a palindrome (13622822631).

The spelling of 11322400320 in words is "eleven billion, three hundred twenty-two million, four hundred thousand, three hundred twenty".