11002212000 has 288 divisors, whose sum is σ = 42052242960. Its totient is φ = 2708121600.

The previous prime is 11002211947. The next prime is 11002212007. The reversal of 11002212000 is 21220011.

It can be written as a sum of positive squares in 8 ways, for example, as 1036582416 + 9965629584 = 32196^2 + 99828^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11002212007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456246 + ... + 479754.

Almost surely, 2^11002212000 is an apocalyptic number.

11002212000 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 11002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026121480).

11002212000 is an abundant number, since it is smaller than the sum of its proper divisors (31050030960).

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

11002212000 is a wasteful number, since it uses less digits than its factorization.

11002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23553 (or 23532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11002212000 its reverse (21220011), we get a palindrome (11023432011).

The spelling of 11002212000 in words is "eleven billion, two million, two hundred twelve thousand".