11002121220000 has 480 divisors, whose sum is σ = 37126048861440. Its totient is φ = 2850211840000.

The previous prime is 11002121219987. The next prime is 11002121220017. The reversal of 11002121220000 is 2212120011.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587930644 + ... + 587949356.

It is an arithmetic number, because the mean of its divisors is an integer number (77345935128).

Almost surely, 2^{11002121220000} is an apocalyptic number.

11002121220000 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 11002121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18563024430720).

11002121220000 is an abundant number, since it is smaller than the sum of its proper divisors (26123927641440).

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

11002121220000 is a wasteful number, since it uses less digits than its factorization.

11002121220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19026 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11002121220000 its reverse (2212120011), we get a palindrome (11004333340011).

The spelling of 11002121220000 in words is "eleven trillion, two billion, one hundred twenty-one million, two hundred twenty thousand".