12122341101200 has 90 divisors (see below), whose sum is σ = 32012247713922. Its totient is φ = 4408124019200.

The previous prime is 12122341101149. The next prime is 12122341101313. The reversal of 12122341101200 is 210114322121.

12122341101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 307749781504 + 11814591319696 = 554752^2 + 3437236^2 .

It is a super-3 number, since 3×12122341101200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125182397 + ... + 125279196.

Almost surely, 2^{12122341101200} is an apocalyptic number.

12122341101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122341101200 is an abundant number, since it is smaller than the sum of its proper divisors (19889906612722).

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

12122341101200 is a wasteful number, since it uses less digits than its factorization.

12122341101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250461633 (or 250461611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12122341101200 its reverse (210114322121), we get a palindrome (12332455423321).

The spelling of 12122341101200 in words is "twelve trillion, one hundred twenty-two billion, three hundred forty-one million, one hundred one thousand, two hundred".