11002120111120 has 80 divisors (see below), whose sum is σ = 25757205348528. Its totient is φ = 4370380185600.

The previous prime is 11002120111069. The next prime is 11002120111121. The reversal of 11002120111120 is 2111102120011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3938176746256 + 7063943364864 = 1984484^2 + 2657808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11002120111120² (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 11002120111120.

It is not an unprimeable number, because it can be changed into a prime (11002120111121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22377372 + ... + 22863748.

Almost surely, 2^{11002120111120} is an apocalyptic number.

11002120111120 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 11002120111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878602674264).

11002120111120 is an abundant number, since it is smaller than the sum of its proper divisors (14755085237408).

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

11002120111120 is a wasteful number, since it uses less digits than its factorization.

11002120111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488348 (or 488342 counting only the distinct ones).

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

Adding to 11002120111120 its reverse (2111102120011), we get a palindrome (13113222231131).

The spelling of 11002120111120 in words is "eleven trillion, two billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".