11021126126352 has 160 divisors (see below), whose sum is σ = 30191817600000. Its totient is φ = 3454575505920.

The previous prime is 11021126126303. The next prime is 11021126126389. The reversal of 11021126126352 is 25362162112011.

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 31 ways as a sum of consecutive naturals, for example, 1140780402 + ... + 1140790062.

It is an arithmetic number, because the mean of its divisors is an integer number (188698860000).

Almost surely, 2^{11021126126352} is an apocalyptic number.

11021126126352 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 11021126126352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095908800000).

11021126126352 is an abundant number, since it is smaller than the sum of its proper divisors (19170691473648).

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

11021126126352 is a wasteful number, since it uses less digits than its factorization.

11021126126352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829 (or 18823 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 11021126126352 its reverse (25362162112011), we get a palindrome (36383288238363).

The spelling of 11021126126352 in words is "eleven trillion, twenty-one billion, one hundred twenty-six million, one hundred twenty-six thousand, three hundred fifty-two".