12996000 has 216 divisors, whose sum is σ = 48678084. Its totient is φ = 3283200.

The previous prime is 12995999. The next prime is 12996001. The reversal of 12996000 is 69921.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12995999) and next prime (12996001).

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 4210704 = 2964^2 + 2052^2 .

It is not an unprimeable number, because it can be changed into a prime (12996001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 683991 + ... + 684009.

Almost surely, 2^12996000 is an apocalyptic number.

12996000 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 12996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24339042).

12996000 is an abundant number, since it is smaller than the sum of its proper divisors (35682084).

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

12996000 is a wasteful number, since it uses less digits than its factorization.

12996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12996000 is about 3604.9965325920. The cubic root of 12996000 is about 235.1093500450.

The spelling of 12996000 in words is "twelve million, nine hundred ninety-six thousand".