12334434240 has 224 divisors, whose sum is σ = 39984297984. Its totient is φ = 3220623360.

The previous prime is 12334434221. The next prime is 12334434247. The reversal of 12334434240 is 4243443321.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12334434198 and 12334434207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334434247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20320017 + ... + 20320623.

Almost surely, 2^12334434240 is an apocalyptic number.

12334434240 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 12334434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992148992).

12334434240 is an abundant number, since it is smaller than the sum of its proper divisors (27649863744).

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

12334434240 is a wasteful number, since it uses less digits than its factorization.

12334434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12334434240 its reverse (4243443321), we get a palindrome (16577877561).

The spelling of 12334434240 in words is "twelve billion, three hundred thirty-four million, four hundred thirty-four thousand, two hundred forty".