1201907200 has 240 divisors, whose sum is σ = 3324537216. Its totient is φ = 427622400.

The previous prime is 1201907153. The next prime is 1201907209. The reversal of 1201907200 is 27091021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201907209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5158284 + ... + 5158516.

Almost surely, 2^1201907200 is an apocalyptic number.

1201907200 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 1201907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662268608).

1201907200 is an abundant number, since it is smaller than the sum of its proper divisors (2122630016).

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

1201907200 is a wasteful number, since it uses less digits than its factorization.

1201907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1201907200 is about 34668.5332830796. The cubic root of 1201907200 is about 1063.2212440905.

Adding to 1201907200 its reverse (27091021), we get a palindrome (1228998221).

The spelling of 1201907200 in words is "one billion, two hundred one million, nine hundred seven thousand, two hundred".