11001112120120 has 64 divisors (see below), whose sum is σ = 27053968377600. Its totient is φ = 4007995299840.

The previous prime is 11001112120091. The next prime is 11001112120127. The reversal of 11001112120120 is 2102121110011.

It is a happy number.

It is a super-2 number, since 2×11001112120120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11001112120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001112120127) 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 15 ways as a sum of consecutive naturals, for example, 260916115 + ... + 260958274.

It is an arithmetic number, because the mean of its divisors is an integer number (422718255900).

Almost surely, 2^{11001112120120} is an apocalyptic number.

11001112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001112120120 is an abundant number, since it is smaller than the sum of its proper divisors (16052856257480).

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

11001112120120 is a wasteful number, since it uses less digits than its factorization.

11001112120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521874448 (or 521874444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11001112120120 its reverse (2102121110011), we get a palindrome (13103233230131).

The spelling of 11001112120120 in words is "eleven trillion, one billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".