1101223221120 has 768 divisors, whose sum is σ = 4299212998080. Its totient is φ = 257387397120.

The previous prime is 1101223221113. The next prime is 1101223221149. The reversal of 1101223221120 is 211223221011.

1101223221120 is a `hidden beast` number, since 1 + 101 + 223 + 221 + 120 = 666.

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 = 1101223221093 and 1101223221102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264906082 + ... + 264910238.

Almost surely, 2^{1101223221120} is an apocalyptic number.

1101223221120 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 1101223221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149606499040).

1101223221120 is an abundant number, since it is smaller than the sum of its proper divisors (3197989776960).

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

1101223221120 is a wasteful number, since it uses less digits than its factorization.

1101223221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4328 counting only the distinct ones).

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

Adding to 1101223221120 its reverse (211223221011), we get a palindrome (1312446442131).

The spelling of 1101223221120 in words is "one trillion, one hundred one billion, two hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".