1123321420200 has 768 divisors, whose sum is σ = 4268195389440. Its totient is φ = 238565376000.

The previous prime is 1123321420139. The next prime is 1123321420201. The reversal of 1123321420200 is 20241233211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1123321420201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2606313985 + ... + 2606314415.

It is an arithmetic number, because the mean of its divisors is an integer number (5557546080).

Almost surely, 2^{1123321420200} is an apocalyptic number.

1123321420200 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 1123321420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134097694720).

1123321420200 is an abundant number, since it is smaller than the sum of its proper divisors (3144873969240).

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

1123321420200 is a wasteful number, since it uses less digits than its factorization.

1123321420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1123321420200 its reverse (20241233211), we get a palindrome (1143562653411).

The spelling of 1123321420200 in words is "one trillion, one hundred twenty-three billion, three hundred twenty-one million, four hundred twenty thousand, two hundred".