11122133002000 has 40 divisors (see below), whose sum is σ = 26893317603672. Its totient is φ = 4448853200000.

The previous prime is 11122133001977. The next prime is 11122133002037. The reversal of 11122133002000 is 20033122111.

It can be written as a sum of positive squares in 4 ways, for example, as 49291104256 + 11072841897744 = 222016^2 + 3327588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 2780531251 + ... + 2780535250.

Almost surely, 2^{11122133002000} is an apocalyptic number.

11122133002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122133002000 is an abundant number, since it is smaller than the sum of its proper divisors (15771184601672).

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

11122133002000 is an equidigital number, since it uses as much as digits as its factorization.

11122133002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561066524 (or 5561066508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11122133002000 its reverse (20033122111), we get a palindrome (11142166124111).

The spelling of 11122133002000 in words is "eleven trillion, one hundred twenty-two billion, one hundred thirty-three million, two thousand".