1220110011120 has 640 divisors, whose sum is σ = 5085854484480. Its totient is φ = 233683107840.

The previous prime is 1220110011077. The next prime is 1220110011179. The reversal of 1220110011120 is 211100110221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220110011096 and 1220110011105.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 181858326 + ... + 181865034.

It is an arithmetic number, because the mean of its divisors is an integer number (7946647632).

Almost surely, 2^{1220110011120} is an apocalyptic number.

1220110011120 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 1220110011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542927242240).

1220110011120 is an abundant number, since it is smaller than the sum of its proper divisors (3865744473360).

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

1220110011120 is a wasteful number, since it uses less digits than its factorization.

1220110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1220110011120 its reverse (211100110221), we get a palindrome (1431210121341).

The spelling of 1220110011120 in words is "one trillion, two hundred twenty billion, one hundred ten million, eleven thousand, one hundred twenty".