11002212011120 has 80 divisors (see below), whose sum is σ = 28378587047040. Its totient is φ = 3932994105600.

The previous prime is 11002212011113. The next prime is 11002212011129. The reversal of 11002212011120 is 2111021220011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11002212011095 and 11002212011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002212011129) 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, 105901586 + ... + 106005425.

It is an arithmetic number, because the mean of its divisors is an integer number (354732338088).

Almost surely, 2^{11002212011120} is an apocalyptic number.

11002212011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002212011120 is an abundant number, since it is smaller than the sum of its proper divisors (17376375035920).

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

11002212011120 is a wasteful number, since it uses less digits than its factorization.

11002212011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211907094 (or 211907088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11002212011120 its reverse (2111021220011), we get a palindrome (13113233231131).

The spelling of 11002212011120 in words is "eleven trillion, two billion, two hundred twelve million, eleven thousand, one hundred twenty".