12434214223404 has 144 divisors (see below), whose sum is σ = 32250181664064. Its totient is φ = 4037042073600.

The previous prime is 12434214223381. The next prime is 12434214223421. The reversal of 12434214223404 is 40432241243421.

12434214223404 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 4 + 21 + 4 + 223 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278198532 + ... + 3278202324.

Almost surely, 2^{12434214223404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434214223404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125090832032).

12434214223404 is an abundant number, since it is smaller than the sum of its proper divisors (19815967440660).

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

12434214223404 is a wasteful number, since it uses less digits than its factorization.

12434214223404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12434214223404 its reverse (40432241243421), we get a palindrome (52866455466825).

The spelling of 12434214223404 in words is "twelve trillion, four hundred thirty-four billion, two hundred fourteen million, two hundred twenty-three thousand, four hundred four".