1201433200 has 180 divisors, whose sum is σ = 3216797584. Its totient is φ = 430848000.

The previous prime is 1201433183. The next prime is 1201433227. The reversal of 1201433200 is 23341021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4985080 + ... + 4985320.

Almost surely, 2^1201433200 is an apocalyptic number.

1201433200 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 1201433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608398792).

1201433200 is an abundant number, since it is smaller than the sum of its proper divisors (2015364384).

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

1201433200 is a wasteful number, since it uses less digits than its factorization.

1201433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1201433200 is about 34661.6964385761. The cubic root of 1201433200 is about 1063.0814570546.

Adding to 1201433200 its reverse (23341021), we get a palindrome (1224774221).

The spelling of 1201433200 in words is "one billion, two hundred one million, four hundred thirty-three thousand, two hundred".