11002212213120 has 192 divisors, whose sum is σ = 38184870849840. Its totient is φ = 2919029944320.

The previous prime is 11002212213103. The next prime is 11002212213137. The reversal of 11002212213120 is 2131221220011.

11002212213120 is a `hidden beast` number, since 1 + 100 + 221 + 221 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11002212213103) and next prime (11002212213137).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002212213093 and 11002212213102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3713266 + ... + 5982705.

Almost surely, 2^{11002212213120} is an apocalyptic number.

11002212213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002212213120 is an abundant number, since it is smaller than the sum of its proper divisors (27182658636720).

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

11002212213120 is a wasteful number, since it uses less digits than its factorization.

11002212213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696193 (or 9696178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11002212213120 its reverse (2131221220011), we get a palindrome (13133433433131).

The spelling of 11002212213120 in words is "eleven trillion, two billion, two hundred twelve million, two hundred thirteen thousand, one hundred twenty".