12233353224400 has 480 divisors, whose sum is σ = 40485251063808. Its totient is φ = 3432665702400.

The previous prime is 12233353224397. The next prime is 12233353224403. The reversal of 12233353224400 is 442235333221.

It is an interprime number because it is at equal distance from previous prime (12233353224397) and next prime (12233353224403).

It is a super-2 number, since 2×12233353224400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233353224403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11534889 + ... + 12550711.

Almost surely, 2^{12233353224400} is an apocalyptic number.

12233353224400 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 12233353224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20242625531904).

12233353224400 is an abundant number, since it is smaller than the sum of its proper divisors (28251897839408).

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

12233353224400 is a wasteful number, since it uses less digits than its factorization.

12233353224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015899 (or 1015888 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 12233353224400 its reverse (442235333221), we get a palindrome (12675588557621).

The spelling of 12233353224400 in words is "twelve trillion, two hundred thirty-three billion, three hundred fifty-three million, two hundred twenty-four thousand, four hundred".