11952000 has 192 divisors, whose sum is σ = 43439760. Its totient is φ = 3148800.

The previous prime is 11951993. The next prime is 11952001. The reversal of 11952000 is 25911.

11952000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143959 + ... + 144041.

Almost surely, 2^11952000 is an apocalyptic number.

11952000 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 11952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719880).

11952000 is an abundant number, since it is smaller than the sum of its proper divisors (31487760).

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

11952000 is an equidigital number, since it uses as much as digits as its factorization.

11952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11952000 is about 3457.1664698131. The cubic root of 11952000 is about 228.6371834629.

Adding to 11952000 its reverse (25911), we get a palindrome (11977911).

The spelling of 11952000 in words is "eleven million, nine hundred fifty-two thousand".