11022121121152 has 64 divisors (see below), whose sum is σ = 22051502726400. Its totient is φ = 5487638080000.

The previous prime is 11022121121093. The next prime is 11022121121153. The reversal of 11022121121152 is 25112112122011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022121121153) 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 7 ways as a sum of consecutive naturals, for example, 125608749 + ... + 125696467.

It is an arithmetic number, because the mean of its divisors is an integer number (344554730100).

Almost surely, 2^{11022121121152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022121121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025751363200).

11022121121152 is an abundant number, since it is smaller than the sum of its proper divisors (11029381605248).

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

11022121121152 is an equidigital number, since it uses as much as digits as its factorization.

11022121121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91895 (or 91883 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 22.

Adding to 11022121121152 its reverse (25112112122011), we get a palindrome (36134233243163).

The spelling of 11022121121152 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred fifty-two".