12412134134400 has 3072 divisors, whose sum is σ = 58282469683200. Its totient is φ = 2235904819200.

The previous prime is 12412134134371. The next prime is 12412134134431. The reversal of 12412134134400 is 443143121421.

It is a happy number.

It is a super-2 number, since 2×12412134134400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28665436584 + ... + 28665437016.

It is an arithmetic number, because the mean of its divisors is an integer number (18972158100).

Almost surely, 2^{12412134134400} is an apocalyptic number.

12412134134400 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 12412134134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29141234841600).

12412134134400 is an abundant number, since it is smaller than the sum of its proper divisors (45870335548800).

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

12412134134400 is a wasteful number, since it uses less digits than its factorization.

12412134134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12412134134400 its reverse (443143121421), we get a palindrome (12855277255821).

The spelling of 12412134134400 in words is "twelve trillion, four hundred twelve billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred".