11122311312000 has 1024 divisors, whose sum is σ = 47479982284800. Its totient is φ = 2506387968000.

The previous prime is 11122311311999. The next prime is 11122311312011. The reversal of 11122311312000 is 21311322111.

11122311312000 is a `hidden beast` number, since 1 + 1 + 122 + 311 + 31 + 200 + 0 = 666.

It is a super-2 number, since 2×11122311312000² (a number of 27 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 214678099 + ... + 214729901.

It is an arithmetic number, because the mean of its divisors is an integer number (46367170200).

Almost surely, 2^{11122311312000} is an apocalyptic number.

11122311312000 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 11122311312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739991142400).

11122311312000 is an abundant number, since it is smaller than the sum of its proper divisors (36357670972800).

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

11122311312000 is an equidigital number, since it uses as much as digits as its factorization.

11122311312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51919 (or 51891 counting only the distinct ones).

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

Adding to 11122311312000 its reverse (21311322111), we get a palindrome (11143622634111).

The spelling of 11122311312000 in words is "eleven trillion, one hundred twenty-two billion, three hundred eleven million, three hundred twelve thousand".