11001312 has 192 divisors, whose sum is σ = 39191040. Its totient is φ = 2930688.

The previous prime is 11001301. The next prime is 11001313. The reversal of 11001312 is 21310011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001294 and 11001303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102763 + ... + 102869.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^11001312 is an apocalyptic number.

11001312 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 11001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

11001312 is an abundant number, since it is smaller than the sum of its proper divisors (28189728).

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

11001312 is a wasteful number, since it uses less digits than its factorization.

11001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11001312 is about 3316.8225759000. The cubic root of 11001312 is about 222.4068507111.

Adding to 11001312 its reverse (21310011), we get a palindrome (32311323).

The spelling of 11001312 in words is "eleven million, one thousand, three hundred twelve".