12667277400 has 192 divisors, whose sum is σ = 40111182720. Its totient is φ = 3306240000.

The previous prime is 12667277387. The next prime is 12667277407. The reversal of 12667277400 is 477276621.

It is a Cunningham number, because it is equal to 112549²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12667277407) 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, 5626275 + ... + 5628525.

It is an arithmetic number, because the mean of its divisors is an integer number (208912410).

Almost surely, 2^12667277400 is an apocalyptic number.

12667277400 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 12667277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055591360).

12667277400 is an abundant number, since it is smaller than the sum of its proper divisors (27443905320).

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

12667277400 is a wasteful number, since it uses less digits than its factorization.

12667277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 12667277400 in words is "twelve billion, six hundred sixty-seven million, two hundred seventy-seven thousand, four hundred".