1201200 has 240 divisors, whose sum is σ = 5166336. Its totient is φ = 230400.

The previous prime is 1201183. The next prime is 1201201. The reversal of 1201200 is 21021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92394 + ... + 92406.

2^1201200 is an apocalyptic number.

1201200 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 1201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583168).

1201200 is an abundant number, since it is smaller than the sum of its proper divisors (3965136).

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

1201200 is a wasteful number, since it uses less digits than its factorization.

1201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1201200 is about 1095.9927007056. The cubic root of 1201200 is about 106.3012670698.

Adding to 1201200 its reverse (21021), we get a palindrome (1222221).

The spelling of 1201200 in words is "one million, two hundred one thousand, two hundred".