12121120100000 has 288 divisors, whose sum is σ = 30393507191040. Its totient is φ = 4757201280000.

The previous prime is 12121120099967. The next prime is 12121120100059. The reversal of 12121120100000 is 102112121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287695294 + ... + 1287704706.

It is an arithmetic number, because the mean of its divisors is an integer number (105533011080).

Almost surely, 2^{12121120100000} is an apocalyptic number.

12121120100000 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 12121120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196753595520).

12121120100000 is an abundant number, since it is smaller than the sum of its proper divisors (18272387091040).

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

12121120100000 is an frugal number, since it uses more digits than its factorization.

12121120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12121120100000 its reverse (102112121), we get a palindrome (12121222212121).

The spelling of 12121120100000 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand".