12101642256000 has 256 divisors, whose sum is σ = 43763940904320. Its totient is φ = 2933731328000.

The previous prime is 12101642255999. The next prime is 12101642256007. The reversal of 12101642256000 is 65224610121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12101642256007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10931889 + ... + 11987888.

Almost surely, 2^{12101642256000} is an apocalyptic number.

12101642256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101642256000 is an abundant number, since it is smaller than the sum of its proper divisors (31662298648320).

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

12101642256000 is a wasteful number, since it uses less digits than its factorization.

12101642256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22919820 (or 22919798 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 12101642256000 its reverse (65224610121), we get a palindrome (12166866866121).

The spelling of 12101642256000 in words is "twelve trillion, one hundred one billion, six hundred forty-two million, two hundred fifty-six thousand".