1101213123200 has 96 divisors (see below), whose sum is σ = 2724656697120. Its totient is φ = 439786368000.

The previous prime is 1101213123173. The next prime is 1101213123203. The reversal of 1101213123200 is 23213121011.

It is not an unprimeable number, because it can be changed into a prime (1101213123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746515 + ... + 2291885.

It is an arithmetic number, because the mean of its divisors is an integer number (28381840595).

Almost surely, 2^{1101213123200} is an apocalyptic number.

1101213123200 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 1101213123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362328348560).

1101213123200 is an abundant number, since it is smaller than the sum of its proper divisors (1623443573920).

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

1101213123200 is an equidigital number, since it uses as much as digits as its factorization.

1101213123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546026 (or 546009 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1101213123200 its reverse (23213121011), we get a palindrome (1124426244211).

The spelling of 1101213123200 in words is "one trillion, one hundred one billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred".