1123301322000 has 1440 divisors, whose sum is σ = 4703479478880. Its totient is φ = 248168448000.

The previous prime is 1123301321981. The next prime is 1123301322007. The reversal of 1123301322000 is 2231033211.

1123301322000 is a `hidden beast` number, since 1 + 1 + 2 + 330 + 132 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 769837779216 + 353463542784 = 877404^2 + 594528^2 .

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 (1123301322007) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2746457796 + ... + 2746458204.

Almost surely, 2^{1123301322000} is an apocalyptic number.

1123301322000 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 1123301322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351739739440).

1123301322000 is an abundant number, since it is smaller than the sum of its proper divisors (3580178156880).

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

1123301322000 is a wasteful number, since it uses less digits than its factorization.

1123301322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1123301322000 its reverse (2231033211), we get a palindrome (1125532355211).

The spelling of 1123301322000 in words is "one trillion, one hundred twenty-three billion, three hundred one million, three hundred twenty-two thousand".