12122001121120 has 96 divisors (see below), whose sum is σ = 31448602273536. Its totient is φ = 4378808256000.

The previous prime is 12122001121117. The next prime is 12122001121127. The reversal of 12122001121120 is 2112110022121.

It is a super-2 number, since 2×12122001121120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12122001121094 and 12122001121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122001121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22540534 + ... + 23072053.

It is an arithmetic number, because the mean of its divisors is an integer number (327589607016).

Almost surely, 2^{12122001121120} is an apocalyptic number.

12122001121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122001121120 is an abundant number, since it is smaller than the sum of its proper divisors (19326601152416).

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

12122001121120 is a wasteful number, since it uses less digits than its factorization.

12122001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45612764 (or 45612756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122001121120 its reverse (2112110022121), we get a palindrome (14234111143241).

The spelling of 12122001121120 in words is "twelve trillion, one hundred twenty-two billion, one million, one hundred twenty-one thousand, one hundred twenty".