1201288 has 48 divisors (see below), whose sum is σ = 2657340. Its totient is φ = 506880.

The previous prime is 1201283. The next prime is 1201307. The reversal of 1201288 is 8821021.

It can be written as a sum of positive squares in 2 ways, for example, as 1162084 + 39204 = 1078^2 + 198^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1201283) 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 11 ways as a sum of consecutive naturals, for example, 16420 + ... + 16492.

2^1201288 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 1201288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328670).

1201288 is an abundant number, since it is smaller than the sum of its proper divisors (1456052).

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

1201288 is a wasteful number, since it uses less digits than its factorization.

1201288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1201288 is about 1096.0328462231. The cubic root of 1201288 is about 106.3038628860.

It can be divided in two parts, 12012 and 88, that added together give a square (12100 = 110²).

The spelling of 1201288 in words is "one million, two hundred one thousand, two hundred eighty-eight".