1102120223220 has 144 divisors (see below), whose sum is σ = 3434996969040. Its totient is φ = 285826848768.

The previous prime is 1102120223207. The next prime is 1102120223227. The reversal of 1102120223220 is 223220212011.

1102120223220 is a `hidden beast` number, since 1 + 10 + 212 + 0 + 223 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52667496036 + 1049452727184 = 229494^2 + 1024428^2 .

It is a super-3 number, since 3×1102120223220³ (a number of 37 digits) contains 333 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 = 1102120223193 and 1102120223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102120223227) by changing a digit.

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, 15235296 + ... + 15307464.

Almost surely, 2^{1102120223220} is an apocalyptic number.

1102120223220 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 1102120223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717498484520).

1102120223220 is an abundant number, since it is smaller than the sum of its proper divisors (2332876745820).

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

1102120223220 is a wasteful number, since it uses less digits than its factorization.

1102120223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74514 (or 74509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102120223220 its reverse (223220212011), we get a palindrome (1325340435231).

The spelling of 1102120223220 in words is "one trillion, one hundred two billion, one hundred twenty million, two hundred twenty-three thousand, two hundred twenty".