12101001200000 has 768 divisors, whose sum is σ = 33813226440000. Its totient is φ = 4286545920000.

The previous prime is 12101001199993. The next prime is 12101001200039. The reversal of 12101001200000 is 210010121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29586799796 + ... + 29586800204.

Almost surely, 2^{12101001200000} is an apocalyptic number.

12101001200000 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 12101001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906613220000).

12101001200000 is an abundant number, since it is smaller than the sum of its proper divisors (21712225240000).

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

12101001200000 is an equidigital number, since it uses as much as digits as its factorization.

12101001200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12101001200000 its reverse (210010121), we get a palindrome (12101211210121).

The spelling of 12101001200000 in words is "twelve trillion, one hundred one billion, one million, two hundred thousand".