1213233331200 has 1056 divisors, whose sum is σ = 4511153053440. Its totient is φ = 285081600000.

The previous prime is 1213233331127. The next prime is 1213233331229. The reversal of 1213233331200 is 21333323121.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5034163080 + ... + 5034163320.

It is an arithmetic number, because the mean of its divisors is an integer number (4271925240).

Almost surely, 2^{1213233331200} is an apocalyptic number.

1213233331200 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 1213233331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255576526720).

1213233331200 is an abundant number, since it is smaller than the sum of its proper divisors (3297919722240).

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

1213233331200 is a wasteful number, since it uses less digits than its factorization.

1213233331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1213233331200 its reverse (21333323121), we get a palindrome (1234566654321).

The spelling of 1213233331200 in words is "one trillion, two hundred thirteen billion, two hundred thirty-three million, three hundred thirty-one thousand, two hundred".