1001220011120 has 160 divisors (see below), whose sum is σ = 2673368893440. Its totient is φ = 341604172800.

The previous prime is 1001220011119. The next prime is 1001220011147. The reversal of 1001220011120 is 211100221001.

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, 101118170 + ... + 101128070.

It is an arithmetic number, because the mean of its divisors is an integer number (16708555584).

Almost surely, 2^{1001220011120} is an apocalyptic number.

1001220011120 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 1001220011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336684446720).

1001220011120 is an abundant number, since it is smaller than the sum of its proper divisors (1672148882320).

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

1001220011120 is a wasteful number, since it uses less digits than its factorization.

1001220011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001220011120 its reverse (211100221001), we get a palindrome (1212320232121).

The spelling of 1001220011120 in words is "one trillion, one billion, two hundred twenty million, eleven thousand, one hundred twenty".