12038109840 has 600 divisors, whose sum is σ = 45598956480. Its totient is φ = 2936964096.

The previous prime is 12038109833. The next prime is 12038109871. The reversal of 12038109840 is 4890183021.

12038109840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12038109795 and 12038109804.

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 119 ways as a sum of consecutive naturals, for example, 204035731 + ... + 204035789.

Almost surely, 2^12038109840 is an apocalyptic number.

12038109840 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 12038109840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22799478240).

12038109840 is an abundant number, since it is smaller than the sum of its proper divisors (33560846640).

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

12038109840 is a wasteful number, since it uses less digits than its factorization.

12038109840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12038109840 in words is "twelve billion, thirty-eight million, one hundred nine thousand, eight hundred forty".