11322080928900 has 945 divisors, whose sum is σ = 43215048974559. Its totient is φ = 2564161971840.

The previous prime is 11322080928881. The next prime is 11322080928919. The reversal of 11322080928900 is 982908022311.

It is a happy number.

The square root of 11322080928900 is 3364830.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11322080928881) and next prime (11322080928919).

It can be written as a sum of positive squares in 4 ways, for example, as 41510802564 + 11280570126336 = 203742^2 + 3358656^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a super-2 number, since 2×11322080928900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 103872302046 + ... + 103872302154.

Almost surely, 2^{11322080928900} is an apocalyptic number.

11322080928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11322080928900 is the 3364830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322080928900

11322080928900 is an abundant number, since it is smaller than the sum of its proper divisors (31892968045659).

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

11322080928900 is an frugal number, since it uses more digits than its factorization.

11322080928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11322080928900 in words is "eleven trillion, three hundred twenty-two billion, eighty million, nine hundred twenty-eight thousand, nine hundred".