1201300 has 36 divisors (see below), whose sum is σ = 2679516. Its totient is φ = 467200.

The previous prime is 1201283. The next prime is 1201307. The reversal of 1201300 is 31021.

It can be written as a sum of positive squares in 6 ways, for example, as 26244 + 1175056 = 162^2 + 1084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3954 + ... + 4246.

It is an arithmetic number, because the mean of its divisors is an integer number (74431).

2^1201300 is an apocalyptic number.

1201300 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 1201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339758).

1201300 is an abundant number, since it is smaller than the sum of its proper divisors (1478216).

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

1201300 is a wasteful number, since it uses less digits than its factorization.

1201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1201300 is about 1096.0383204980. The cubic root of 1201300 is about 106.3042168511.

Adding to 1201300 its reverse (31021), we get a palindrome (1232321).

The spelling of 1201300 in words is "one million, two hundred one thousand, three hundred".