11200221121120 has 48 divisors (see below), whose sum is σ = 27314087649408. Its totient is φ = 4335569464320.

The previous prime is 11200221121109. The next prime is 11200221121121. The reversal of 11200221121120 is 2112112200211.

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 = 11200221121094 and 11200221121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200221121121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1129049589 + ... + 1129059508.

It is an arithmetic number, because the mean of its divisors is an integer number (569043492696).

Almost surely, 2^{11200221121120} is an apocalyptic number.

11200221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200221121120 is an abundant number, since it is smaller than the sum of its proper divisors (16113866528288).

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

11200221121120 is a wasteful number, since it uses less digits than its factorization.

11200221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258109143 (or 2258109135 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11200221121120 its reverse (2112112200211), we get a palindrome (13312333321331).

The spelling of 11200221121120 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".