12666067200 has 540 divisors, whose sum is σ = 47819353428. Its totient is φ = 3306700800.

The previous prime is 12666067199. The next prime is 12666067247. The reversal of 12666067200 is 276066621.

It can be written as a sum of positive squares in 6 ways, for example, as 179345664 + 12486721536 = 13392^2 + 111744^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27474970 + ... + 27475430.

Almost surely, 2^12666067200 is an apocalyptic number.

12666067200 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 12666067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23909676714).

12666067200 is an abundant number, since it is smaller than the sum of its proper divisors (35153286228).

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

12666067200 is an equidigital number, since it uses as much as digits as its factorization.

12666067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12666067200 in words is "twelve billion, six hundred sixty-six million, sixty-seven thousand, two hundred".