12338135040 has 544 divisors, whose sum is σ = 49525963776. Its totient is φ = 2548039680.

The previous prime is 12338135027. The next prime is 12338135081. The reversal of 12338135040 is 4053183321.

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 = 12338134989 and 12338135007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75693999 + ... + 75694161.

Almost surely, 2^12338135040 is an apocalyptic number.

12338135040 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 12338135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24762981888).

12338135040 is an abundant number, since it is smaller than the sum of its proper divisors (37187828736).

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

12338135040 is an equidigital number, since it uses as much as digits as its factorization.

12338135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12338135040 in words is "twelve billion, three hundred thirty-eight million, one hundred thirty-five thousand, forty".