12110422414400 has 84 divisors (see below), whose sum is σ = 29810536111092. Its totient is φ = 4842327490560.

The previous prime is 12110422414397. The next prime is 12110422414427. The reversal of 12110422414400 is 441422401121.

It can be written as a sum of positive squares in 6 ways, for example, as 4243698880576 + 7866723533824 = 2060024^2 + 2804768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12110422414400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2775464 + ... + 5650136.

Almost surely, 2^{12110422414400} is an apocalyptic number.

12110422414400 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 12110422414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905268055546).

12110422414400 is an abundant number, since it is smaller than the sum of its proper divisors (17700113696692).

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

12110422414400 is a wasteful number, since it uses less digits than its factorization.

12110422414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877328 (or 2877313 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 12110422414400 its reverse (441422401121), we get a palindrome (12551844815521).

The spelling of 12110422414400 in words is "twelve trillion, one hundred ten billion, four hundred twenty-two million, four hundred fourteen thousand, four hundred".