12122435476752 has 80 divisors (see below), whose sum is σ = 31645791206400. Its totient is φ = 3998313271296.

The previous prime is 12122435476703. The next prime is 12122435476771. The reversal of 12122435476752 is 25767453422121.

12122435476752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12122435476695 and 12122435476704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22072878 + ... + 22615410.

It is an arithmetic number, because the mean of its divisors is an integer number (395572390080).

Almost surely, 2^{12122435476752} is an apocalyptic number.

12122435476752 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 12122435476752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822895603200).

12122435476752 is an abundant number, since it is smaller than the sum of its proper divisors (19523355729648).

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

12122435476752 is a wasteful number, since it uses less digits than its factorization.

12122435476752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547440 (or 547434 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

Adding to 12122435476752 its reverse (25767453422121), we get a palindrome (37889888898873).

The spelling of 12122435476752 in words is "twelve trillion, one hundred twenty-two billion, four hundred thirty-five million, four hundred seventy-six thousand, seven hundred fifty-two".