12122012022120 has 768 divisors, whose sum is σ = 53312758087680. Its totient is φ = 2306784614400.

The previous prime is 12122012022083. The next prime is 12122012022157. The reversal of 12122012022120 is 2122021022121.

It is a happy number.

12122012022120 is a `hidden beast` number, since 121 + 220 + 1 + 202 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (12122012022083) and next prime (12122012022157).

It is a super-2 number, since 2×12122012022120² (a number of 27 digits) contains 22 as substring.

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 = 12122012022093 and 12122012022102.

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, 45633285 + ... + 45898155.

It is an arithmetic number, because the mean of its divisors is an integer number (69417653760).

Almost surely, 2^{12122012022120} is an apocalyptic number.

12122012022120 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 12122012022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26656379043840).

12122012022120 is an abundant number, since it is smaller than the sum of its proper divisors (41190746065560).

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

12122012022120 is a wasteful number, since it uses less digits than its factorization.

12122012022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265046 (or 265039 counting only the distinct ones).

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

Adding to 12122012022120 its reverse (2122021022121), we get a palindrome (14244033044241).

Subtracting from 12122012022120 its reverse (2122021022121), we obtain a palindrome (9999990999999).

The spelling of 12122012022120 in words is "twelve trillion, one hundred twenty-two billion, twelve million, twenty-two thousand, one hundred twenty".