11002221200052 has 288 divisors, whose sum is σ = 31292111894400. Its totient is φ = 3331316782080.

The previous prime is 11002221200051. The next prime is 11002221200071. The reversal of 11002221200052 is 25000212220011.

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 = 11002221199998 and 11002221200034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002221200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668697858 + ... + 668714310.

It is an arithmetic number, because the mean of its divisors is an integer number (108653166300).

Almost surely, 2^{11002221200052} is an apocalyptic number.

11002221200052 is a gapful number since it is divisible by the number (12) 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 11002221200052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646055947200).

11002221200052 is an abundant number, since it is smaller than the sum of its proper divisors (20289890694348).

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

11002221200052 is a wasteful number, since it uses less digits than its factorization.

11002221200052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11002221200052 its reverse (25000212220011), we get a palindrome (36002433420063).

The spelling of 11002221200052 in words is "eleven trillion, two billion, two hundred twenty-one million, two hundred thousand, fifty-two".