1201312 has 48 divisors (see below), whose sum is σ = 2806272. Its totient is φ = 495360.

The previous prime is 1201309. The next prime is 1201327. The reversal of 1201312 is 2131021.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6858 + ... + 7030.

It is an arithmetic number, because the mean of its divisors is an integer number (58464).

2^1201312 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 1201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403136).

1201312 is an abundant number, since it is smaller than the sum of its proper divisors (1604960).

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

1201312 is a wasteful number, since it uses less digits than its factorization.

1201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1201312 is about 1096.0437947454. The cubic root of 1201312 is about 106.3045708138.

Adding to 1201312 its reverse (2131021), we get a palindrome (3332333).

The spelling of 1201312 in words is "one million, two hundred one thousand, three hundred twelve".