12642226443000 has 2048 divisors, whose sum is σ = 58413013401600. Its totient is φ = 2448589824000.

The previous prime is 12642226442899. The next prime is 12642226443013. The reversal of 12642226443000 is 34462224621.

12642226443000 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 2 + 2 + 644 + 3 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3781699329 + ... + 3781702671.

It is an arithmetic number, because the mean of its divisors is an integer number (28521979200).

Almost surely, 2^{12642226443000} is an apocalyptic number.

12642226443000 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 12642226443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29206506700800).

12642226443000 is an abundant number, since it is smaller than the sum of its proper divisors (45770786958600).

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

12642226443000 is a wasteful number, since it uses less digits than its factorization.

12642226443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 12642226443000 its reverse (34462224621), we get a palindrome (12676688667621).

The spelling of 12642226443000 in words is "twelve trillion, six hundred forty-two billion, two hundred twenty-six million, four hundred forty-three thousand".