11200222201120 has 48 divisors (see below), whose sum is σ = 26722510384248. Its totient is φ = 4435731558400.

The previous prime is 11200222201093. The next prime is 11200222201163. The reversal of 11200222201120 is 2110222200211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11199222882576 + 999318544 = 3346524^2 + 31612^2 .

It is a super-3 number, since 3×11200222201120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11200222201094 and 11200222201103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346525369 + ... + 346557688.

Almost surely, 2^{11200222201120} is an apocalyptic number.

11200222201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200222201120 is an abundant number, since it is smaller than the sum of its proper divisors (15522288183128).

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

11200222201120 is a wasteful number, since it uses less digits than its factorization.

11200222201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693083173 (or 693083165 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11200222201120 its reverse (2110222200211), we get a palindrome (13310444401331).

Subtracting from 11200222201120 its reverse (2110222200211), we obtain a palindrome (9090000000909).

The spelling of 11200222201120 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".