11200222021120 has 320 divisors, whose sum is σ = 29615835465216. Its totient is φ = 4028406497280.

The previous prime is 11200222021117. The next prime is 11200222021171. The reversal of 11200222021120 is 2112022200211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 11200222021094 and 11200222021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190535684 + ... + 2190540796.

Almost surely, 2^{11200222021120} is an apocalyptic number.

11200222021120 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 11200222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807917732608).

11200222021120 is an abundant number, since it is smaller than the sum of its proper divisors (18415613444096).

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

11200222021120 is a wasteful number, since it uses less digits than its factorization.

11200222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5965 counting only the distinct ones).

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

Adding to 11200222021120 its reverse (2112022200211), we get a palindrome (13312244221331).

It can be divided in two parts, 112002 and 22021120, that added together give a palindrome (22133122).

The spelling of 11200222021120 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".