1211728 has 40 divisors (see below), whose sum is σ = 2777600. Its totient is φ = 501120.

The previous prime is 1211723. The next prime is 1211731. The reversal of 1211728 is 8271121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1211699 and 1211708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3298 + ... + 3646.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

2^1211728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388800).

1211728 is an abundant number, since it is smaller than the sum of its proper divisors (1565872).

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

1211728 is a wasteful number, since it uses less digits than its factorization.

1211728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 224, while the sum is 22.

The square root of 1211728 is about 1100.7851743188. The cubic root of 1211728 is about 106.6109257376.

Adding to 1211728 its reverse (8271121), we get a palindrome (9482849).

It can be divided in two parts, 121 and 1728, that added together give a square (1849 = 43²).

The spelling of 1211728 in words is "one million, two hundred eleven thousand, seven hundred twenty-eight".