1230322123200 has 1344 divisors, whose sum is σ = 4606811573760. Its totient is φ = 285930946560.

The previous prime is 1230322123181. The next prime is 1230322123207. The reversal of 1230322123200 is 23212230321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230322123207) 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 191 ways as a sum of consecutive naturals, for example, 10887806344 + ... + 10887806456.

Almost surely, 2^{1230322123200} is an apocalyptic number.

1230322123200 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 1230322123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303405786880).

1230322123200 is an abundant number, since it is smaller than the sum of its proper divisors (3376489450560).

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

1230322123200 is a wasteful number, since it uses less digits than its factorization.

1230322123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1230322123200 its reverse (23212230321), we get a palindrome (1253534353521).

The spelling of 1230322123200 in words is "one trillion, two hundred thirty billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred".