1133122024000 has 112 divisors (see below), whose sum is σ = 2810359699056. Its totient is φ = 452573184000.

The previous prime is 1133122023983. The next prime is 1133122024009. The reversal of 1133122024000 is 4202213311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 626997916224 + 506124107776 = 791832^2 + 711424^2 .

It is not an unprimeable number, because it can be changed into a prime (1133122024009) 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 15 ways as a sum of consecutive naturals, for example, 5278770 + ... + 5489230.

It is an arithmetic number, because the mean of its divisors is an integer number (25092497313).

Almost surely, 2^{1133122024000} is an apocalyptic number.

1133122024000 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 1133122024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405179849528).

1133122024000 is an abundant number, since it is smaller than the sum of its proper divisors (1677237675056).

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

1133122024000 is an equidigital number, since it uses as much as digits as its factorization.

1133122024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211161 (or 211141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1133122024000 its reverse (4202213311), we get a palindrome (1137324237311).

It can be divided in two parts, 113312 and 2024000, that added together give a palindrome (2137312).

The spelling of 1133122024000 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-two million, twenty-four thousand".