1233203240400 has 240 divisors, whose sum is σ = 4007080316160. Its totient is φ = 324146534400.

The previous prime is 1233203240389. The next prime is 1233203240419. The reversal of 1233203240400 is 40423023321.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58101790 + ... + 58123010.

It is an arithmetic number, because the mean of its divisors is an integer number (16696167984).

Almost surely, 2^{1233203240400} is an apocalyptic number.

1233203240400 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 1233203240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003540158080).

1233203240400 is an abundant number, since it is smaller than the sum of its proper divisors (2773877075760).

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

1233203240400 is a wasteful number, since it uses less digits than its factorization.

1233203240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21934 (or 21923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1233203240400 its reverse (40423023321), we get a palindrome (1273626263721).

The spelling of 1233203240400 in words is "one trillion, two hundred thirty-three billion, two hundred three million, two hundred forty thousand, four hundred".