12101122212120 has 768 divisors, whose sum is σ = 45341485862400. Its totient is φ = 2888571248640.

The previous prime is 12101122212107. The next prime is 12101122212131. The reversal of 12101122212120 is 2121222110121.

12101122212120 is a `hidden beast` number, since 1 + 210 + 1 + 122 + 212 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12101122212093 and 12101122212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321042475 + ... + 321080165.

It is an arithmetic number, because the mean of its divisors is an integer number (59038393050).

Almost surely, 2^{12101122212120} is an apocalyptic number.

12101122212120 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 12101122212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22670742931200).

12101122212120 is an abundant number, since it is smaller than the sum of its proper divisors (33240363650280).

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

12101122212120 is a wasteful number, since it uses less digits than its factorization.

12101122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830 (or 37814 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12101122212120 its reverse (2121222110121), we get a palindrome (14222344322241).

The spelling of 12101122212120 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".