12672242000 has 320 divisors, whose sum is σ = 36568516608. Its totient is φ = 4193280000.

The previous prime is 12672241979. The next prime is 12672242003. The reversal of 12672242000 is 24227621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672242003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11593454 + ... + 11594546.

Almost surely, 2^12672242000 is an apocalyptic number.

12672242000 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 12672242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284258304).

12672242000 is an abundant number, since it is smaller than the sum of its proper divisors (23896274608).

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

12672242000 is a wasteful number, since it uses less digits than its factorization.

12672242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 12672242000 its reverse (24227621), we get a palindrome (12696469621).

The spelling of 12672242000 in words is "twelve billion, six hundred seventy-two million, two hundred forty-two thousand".