1206433200 has 480 divisors, whose sum is σ = 4711698432. Its totient is φ = 258048000.

The previous prime is 1206433199. The next prime is 1206433247. The reversal of 1206433200 is 23346021.

It is a happy number.

1206433200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10676344 + ... + 10676456.

Almost surely, 2^1206433200 is an apocalyptic number.

1206433200 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 1206433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355849216).

1206433200 is an abundant number, since it is smaller than the sum of its proper divisors (3505265232).

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

1206433200 is a wasteful number, since it uses less digits than its factorization.

1206433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1206433200 is about 34733.7472784035. The cubic root of 1206433200 is about 1064.5541566557.

Adding to 1206433200 its reverse (23346021), we get a palindrome (1229779221).

The spelling of 1206433200 in words is "one billion, two hundred six million, four hundred thirty-three thousand, two hundred".