12122273856 has 336 divisors, whose sum is σ = 41709148992. Its totient is φ = 3070771200.

The previous prime is 12122273803. The next prime is 12122273857. The reversal of 12122273856 is 65837222121.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12122273856² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122273857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4241580 + ... + 4244436.

It is an arithmetic number, because the mean of its divisors is an integer number (124134372).

Almost surely, 2^12122273856 is an apocalyptic number.

12122273856 is a gapful number since it is divisible by the number (16) 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 12122273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854574496).

12122273856 is an abundant number, since it is smaller than the sum of its proper divisors (29586875136).

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

12122273856 is a wasteful number, since it uses less digits than its factorization.

12122273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2921 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

Adding to 12122273856 its reverse (65837222121), we get a palindrome (77959495977).

The spelling of 12122273856 in words is "twelve billion, one hundred twenty-two million, two hundred seventy-three thousand, eight hundred fifty-six".