12338071424 has 288 divisors, whose sum is σ = 31175830800. Its totient is φ = 4839690240.

The previous prime is 12338071391. The next prime is 12338071457. The reversal of 12338071424 is 42417083321.

It is an interprime number because it is at equal distance from previous prime (12338071391) and next prime (12338071457).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138629972 + ... + 138630060.

Almost surely, 2^12338071424 is an apocalyptic number.

12338071424 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 12338071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587915400).

12338071424 is an abundant number, since it is smaller than the sum of its proper divisors (18837759376).

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

12338071424 is an equidigital number, since it uses as much as digits as its factorization.

12338071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 12338071424 in words is "twelve billion, three hundred thirty-eight million, seventy-one thousand, four hundred twenty-four".