1201435200 has 672 divisors, whose sum is σ = 5215737600. Its totient is φ = 263208960.

The previous prime is 1201435181. The next prime is 1201435201. The reversal of 1201435200 is 25341021.

1201435200 is a `hidden beast` number, since 1 + 2 + 0 + 143 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201435201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8769532 + ... + 8769668.

Almost surely, 2^1201435200 is an apocalyptic number.

1201435200 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 1201435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607868800).

1201435200 is an abundant number, since it is smaller than the sum of its proper divisors (4014302400).

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

1201435200 is a wasteful number, since it uses less digits than its factorization.

1201435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1201435200 is about 34661.7252888543. The cubic root of 1201435200 is about 1063.0820469506.

Adding to 1201435200 its reverse (25341021), we get a palindrome (1226776221).

The spelling of 1201435200 in words is "one billion, two hundred one million, four hundred thirty-five thousand, two hundred".