1233521112400 has 120 divisors (see below), whose sum is σ = 2970193359744. Its totient is φ = 492301286400.

The previous prime is 1233521112389. The next prime is 1233521112401. The reversal of 1233521112400 is 42111253321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233521112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618925804 + ... + 618927796.

Almost surely, 2^{1233521112400} is an apocalyptic number.

1233521112400 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 1233521112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485096679872).

1233521112400 is an abundant number, since it is smaller than the sum of its proper divisors (1736672247344).

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

1233521112400 is a wasteful number, since it uses less digits than its factorization.

1233521112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1233521112400 its reverse (42111253321), we get a palindrome (1275632365721).

The spelling of 1233521112400 in words is "one trillion, two hundred thirty-three billion, five hundred twenty-one million, one hundred twelve thousand, four hundred".