1233323120000 has 160 divisors (see below), whose sum is σ = 3100699958400. Its totient is φ = 488441600000.

The previous prime is 1233323119949. The next prime is 1233323120111. The reversal of 1233323120000 is 213233321.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 8003681 + ... + 8156319.

It is an arithmetic number, because the mean of its divisors is an integer number (19379374740).

Almost surely, 2^{1233323120000} is an apocalyptic number.

1233323120000 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 1233323120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550349979200).

1233323120000 is an abundant number, since it is smaller than the sum of its proper divisors (1867376838400).

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

1233323120000 is an equidigital number, since it uses as much as digits as its factorization.

1233323120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152774 (or 152747 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1233323120000 its reverse (213233321), we get a palindrome (1233536353321).

The spelling of 1233323120000 in words is "one trillion, two hundred thirty-three billion, three hundred twenty-three million, one hundred twenty thousand".