12103825440 has 192 divisors, whose sum is σ = 45468573696. Its totient is φ = 2646285312.

The previous prime is 12103825421. The next prime is 12103825441. The reversal of 12103825440 is 4452830121.

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 = 12103825398 and 12103825407.

It is not an unprimeable number, because it can be changed into a prime (12103825441) 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, 1032 + ... + 155591.

It is an arithmetic number, because the mean of its divisors is an integer number (236815488).

Almost surely, 2^12103825440 is an apocalyptic number.

12103825440 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 12103825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734286848).

12103825440 is an abundant number, since it is smaller than the sum of its proper divisors (33364748256).

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

12103825440 is a wasteful number, since it uses less digits than its factorization.

12103825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156671 (or 156663 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12103825440 in words is "twelve billion, one hundred three million, eight hundred twenty-five thousand, four hundred forty".