11121311322000 has 480 divisors, whose sum is σ = 42387659623296. Its totient is φ = 2695220352000.

The previous prime is 11121311321983. The next prime is 11121311322007. The reversal of 11121311322000 is 22311312111.

11121311322000 is a `hidden beast` number, since 1 + 1 + 121 + 311 + 32 + 200 + 0 = 666.

11121311322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11121311322007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 810407139 + ... + 810420861.

Almost surely, 2^{11121311322000} is an apocalyptic number.

11121311322000 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 11121311322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21193829811648).

11121311322000 is an abundant number, since it is smaller than the sum of its proper divisors (31266348301296).

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

11121311322000 is a wasteful number, since it uses less digits than its factorization.

11121311322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17856 (or 17837 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11121311322000 its reverse (22311312111), we get a palindrome (11143622634111).

The spelling of 11121311322000 in words is "eleven trillion, one hundred twenty-one billion, three hundred eleven million, three hundred twenty-two thousand".