22200211113120 has 288 divisors, whose sum is σ = 82382551484688. Its totient is φ = 5421227802624.

The previous prime is 22200211113097. The next prime is 22200211113149. The reversal of 22200211113120 is 2131111200222.

22200211113120 is a `hidden beast` number, since 2 + 220 + 0 + 21 + 111 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20245572242064 + 1954638871056 = 4499508^2 + 1398084^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22200211113120² (a number of 27 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 = 22200211113093 and 22200211113102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11349259 + ... + 13160778.

Almost surely, 2^{22200211113120} is an apocalyptic number.

22200211113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200211113120 is an abundant number, since it is smaller than the sum of its proper divisors (60182340371568).

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

22200211113120 is a wasteful number, since it uses less digits than its factorization.

22200211113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510112 (or 24510101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22200211113120 its reverse (2131111200222), we get a palindrome (24331322313342).

The spelling of 22200211113120 in words is "twenty-two trillion, two hundred billion, two hundred eleven million, one hundred thirteen thousand, one hundred twenty".