11122012010000 has 100 divisors (see below), whose sum is σ = 26953198387500. Its totient is φ = 4444559616000.

The previous prime is 11122012009991. The next prime is 11122012010063. The reversal of 11122012010000 is 1021022111.

It can be written as a sum of positive squares in 10 ways, for example, as 5909722104064 + 5212289905936 = 2430992^2 + 2283044^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 9959876 + ... + 11020124.

It is an arithmetic number, because the mean of its divisors is an integer number (269531983875).

Almost surely, 2^{11122012010000} is an apocalyptic number.

11122012010000 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 11122012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476599193750).

11122012010000 is an abundant number, since it is smaller than the sum of its proper divisors (15831186377500).

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

11122012010000 is a wasteful number, since it uses less digits than its factorization.

11122012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061326 (or 1061305 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122012010000 its reverse (1021022111), we get a palindrome (11123033032111).

The spelling of 11122012010000 in words is "eleven trillion, one hundred twenty-two billion, twelve million, ten thousand".