12100120020000 has 720 divisors, whose sum is σ = 44745767146080. Its totient is φ = 3098124288000.

The previous prime is 12100120019983. The next prime is 12100120020031. The reversal of 12100120020000 is 2002100121.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 456646752 + ... + 456673248.

It is an arithmetic number, because the mean of its divisors is an integer number (62146898814).

Almost surely, 2^{12100120020000} is an apocalyptic number.

12100120020000 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 12100120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372883573040).

12100120020000 is an abundant number, since it is smaller than the sum of its proper divisors (32645647126080).

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

12100120020000 is a wasteful number, since it uses less digits than its factorization.

12100120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26635 (or 26609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100120020000 its reverse (2002100121), we get a palindrome (12102122120121).

The spelling of 12100120020000 in words is "twelve trillion, one hundred billion, one hundred twenty million, twenty thousand".