12434262204 has 288 divisors, whose sum is σ = 37146622464. Its totient is φ = 3168322560.

The previous prime is 12434262199. The next prime is 12434262241. The reversal of 12434262204 is 40226243421.

12434262204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12434262204² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71874262 + ... + 71874434.

It is an arithmetic number, because the mean of its divisors is an integer number (128981328).

Almost surely, 2^12434262204 is an apocalyptic number.

12434262204 is a gapful number since it is divisible by the number (14) 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 12434262204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18573311232).

12434262204 is an abundant number, since it is smaller than the sum of its proper divisors (24712360260).

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

12434262204 is a wasteful number, since it uses less digits than its factorization.

12434262204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 12434262204 in words is "twelve billion, four hundred thirty-four million, two hundred sixty-two thousand, two hundred four".