12122120202120 has 96 divisors (see below), whose sum is σ = 41109798974400. Its totient is φ = 3092019063936.

The previous prime is 12122120202119. The next prime is 12122120202121. The reversal of 12122120202120 is 2120202122121.

It is a happy number.

12122120202120 is a `hidden beast` number, since 121 + 221 + 2 + 0 + 202 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (12122120202119) and next prime (12122120202121).

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 = 12122120202093 and 12122120202102.

It is not an unprimeable number, because it can be changed into a prime (12122120202121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732003810 + ... + 732020369.

It is an arithmetic number, because the mean of its divisors is an integer number (428227072650).

Almost surely, 2^{12122120202120} is an apocalyptic number.

12122120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122120202120 is an abundant number, since it is smaller than the sum of its proper divisors (28987678772280).

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

12122120202120 is a wasteful number, since it uses less digits than its factorization.

12122120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464024219 (or 1464024212 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122120202120 its reverse (2120202122121), we get a palindrome (14242322324241).

The spelling of 12122120202120 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred twenty".