11312000 has 128 divisors (see below), whose sum is σ = 32460480. Its totient is φ = 3840000.

The previous prime is 11311999. The next prime is 11312009. The reversal of 11312000 is 21311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11312000² = 255922688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111950 + ... + 112050.

Almost surely, 2^11312000 is an apocalyptic number.

11312000 is a gapful number since it is divisible by the number (10) 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 11312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230240).

11312000 is an abundant number, since it is smaller than the sum of its proper divisors (21148480).

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

11312000 is an equidigital number, since it uses as much as digits as its factorization.

11312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11312000 is about 3363.3316815325. The cubic root of 11312000 is about 224.4811087885.

Adding to 11312000 its reverse (21311), we get a palindrome (11333311).

The spelling of 11312000 in words is "eleven million, three hundred twelve thousand".