12120221101212 has 576 divisors, whose sum is σ = 39097677265920. Its totient is φ = 3088692891648.

The previous prime is 12120221101201. The next prime is 12120221101271. The reversal of 12120221101212 is 21210112202121.

12120221101212 is a `hidden beast` number, since 12 + 120 + 221 + 101 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 685407723 + ... + 685425405.

It is an arithmetic number, because the mean of its divisors is an integer number (67877911920).

Almost surely, 2^{12120221101212} is an apocalyptic number.

12120221101212 is a gapful number since it is divisible by the number (12) 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 12120221101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548838632960).

12120221101212 is an abundant number, since it is smaller than the sum of its proper divisors (26977456164708).

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

12120221101212 is a wasteful number, since it uses less digits than its factorization.

12120221101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17882 (or 17877 counting only the distinct ones).

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

Adding to 12120221101212 its reverse (21210112202121), we get a palindrome (33330333303333).

The spelling of 12120221101212 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, two hundred twelve".