1233214400 has 168 divisors, whose sum is σ = 3393064080. Its totient is φ = 437248000.

The previous prime is 1233214393. The next prime is 1233214417. The reversal of 1233214400 is 44123321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720746 + ... + 722454.

It is an arithmetic number, because the mean of its divisors is an integer number (20196810).

Almost surely, 2^1233214400 is an apocalyptic number.

1233214400 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 1233214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696532040).

1233214400 is an abundant number, since it is smaller than the sum of its proper divisors (2159849680).

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

1233214400 is a wasteful number, since it uses less digits than its factorization.

1233214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1233214400 is about 35117.1525041539. The cubic root of 1233214400 is about 1072.3738022174.

Adding to 1233214400 its reverse (44123321), we get a palindrome (1277337721).

It can be divided in two parts, 123321 and 4400, that added together give a palindrome (127721).

The spelling of 1233214400 in words is "one billion, two hundred thirty-three million, two hundred fourteen thousand, four hundred".