11612000 has 48 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 4643200.

The previous prime is 11611981. The next prime is 11612047. The reversal of 11612000 is 21611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2549 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 2^11612000 is an apocalyptic number.

11612000 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 11612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

11612000 is an abundant number, since it is smaller than the sum of its proper divisors (16928512).

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

11612000 is an equidigital number, since it uses as much as digits as its factorization.

11612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11612000 is about 3407.6384784774. The cubic root of 11612000 is about 226.4482709944.

Adding to 11612000 its reverse (21611), we get a palindrome (11633611).

The spelling of 11612000 in words is "eleven million, six hundred twelve thousand".