11712000 has 160 divisors (see below), whose sum is σ = 39577824. Its totient is φ = 3072000.

The previous prime is 11711983. The next prime is 11712011. The reversal of 11712000 is 21711.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191970 + ... + 192030.

Almost surely, 2^11712000 is an apocalyptic number.

11712000 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 11712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912).

11712000 is an abundant number, since it is smaller than the sum of its proper divisors (27865824).

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

11712000 is an frugal number, since it uses more digits than its factorization.

11712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 11712000 is about 3422.2799417932. The cubic root of 11712000 is about 227.0964548338.

Adding to 11712000 its reverse (21711), we get a palindrome (11733711).

The spelling of 11712000 in words is "eleven million, seven hundred twelve thousand".