11002112001120 has 96 divisors (see below), whose sum is σ = 34768089457920. Its totient is φ = 2924462743040.

The previous prime is 11002112001103. The next prime is 11002112001197. The reversal of 11002112001120 is 2110021120011.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 11002112001096 and 11002112001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36701310 + ... + 36999869.

It is an arithmetic number, because the mean of its divisors is an integer number (362167598520).

Almost surely, 2^{11002112001120} is an apocalyptic number.

11002112001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002112001120 is an abundant number, since it is smaller than the sum of its proper divisors (23765977456800).

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

11002112001120 is a wasteful number, since it uses less digits than its factorization.

11002112001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73701508 (or 73701500 counting only the distinct ones).

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

Adding to 11002112001120 its reverse (2110021120011), we get a palindrome (13112133121131).

The spelling of 11002112001120 in words is "eleven trillion, two billion, one hundred twelve million, one thousand, one hundred twenty".