12276000 has 288 divisors, whose sum is σ = 49061376. Its totient is φ = 2880000.

The previous prime is 12275959. The next prime is 12276001. The reversal of 12276000 is 67221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12276001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395985 + ... + 396015.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 2^12276000 is an apocalyptic number.

12276000 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 12276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688).

12276000 is an abundant number, since it is smaller than the sum of its proper divisors (36785376).

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

12276000 is a wasteful number, since it uses less digits than its factorization.

12276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12276000 is about 3503.7123169575. The cubic root of 12276000 is about 230.6847896186.

It can be divided in two parts, 1227 and 6000, that added together give a palindrome (7227).

The spelling of 12276000 in words is "twelve million, two hundred seventy-six thousand".