1233123201300 has 576 divisors, whose sum is σ = 4006813547520. Its totient is φ = 291355975680.

The previous prime is 1233123201259. The next prime is 1233123201319. The reversal of 1233123201300 is 31023213321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1060294519 + ... + 1060295681.

It is an arithmetic number, because the mean of its divisors is an integer number (6956273520).

Almost surely, 2^{1233123201300} is an apocalyptic number.

1233123201300 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 1233123201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003406773760).

1233123201300 is an abundant number, since it is smaller than the sum of its proper divisors (2773690346220).

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

1233123201300 is a wasteful number, since it uses less digits than its factorization.

1233123201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1233123201300 its reverse (31023213321), we get a palindrome (1264146414621).

The spelling of 1233123201300 in words is "one trillion, two hundred thirty-three billion, one hundred twenty-three million, two hundred one thousand, three hundred".