1233312 has 48 divisors (see below), whose sum is σ = 3356640. Its totient is φ = 396032.

The previous prime is 1233301. The next prime is 1233313. The reversal of 1233312 is 2133321.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 1233291 and 1233300.

It is not an unprimeable number, because it can be changed into a prime (1233313) 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, 2563 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (69930).

2^1233312 is an apocalyptic number.

1233312 is a gapful number since it is divisible by the number (12) 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 1233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678320).

1233312 is an abundant number, since it is smaller than the sum of its proper divisors (2123328).

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

1233312 is a wasteful number, since it uses less digits than its factorization.

1233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 1233312 is about 1110.5458117520. The cubic root of 1233312 is about 107.2402091681.

Adding to 1233312 its reverse (2133321), we get a palindrome (3366633).

Subtracting 1233312 from its reverse (2133321), we obtain a palindrome (900009).

The spelling of 1233312 in words is "one million, two hundred thirty-three thousand, three hundred twelve".