12103409285352 has 864 divisors, whose sum is σ = 44131120488000. Its totient is φ = 3041933875200.

The previous prime is 12103409285351. The next prime is 12103409285413. The reversal of 12103409285352 is 25358290430121.

12103409285352 is a `hidden beast` number, since 1 + 2 + 10 + 3 + 4 + 0 + 9 + 285 + 352 = 666.

It is a super-2 number, since 2×12103409285352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12103409285298 and 12103409285307.

It is not an unprimeable number, because it can be changed into a prime (12103409285351) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1582348024 + ... + 1582355672.

It is an arithmetic number, because the mean of its divisors is an integer number (51077685750).

Almost surely, 2^{12103409285352} is an apocalyptic number.

12103409285352 is a gapful number since it is divisible by the number (12) 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 12103409285352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065560244000).

12103409285352 is an abundant number, since it is smaller than the sum of its proper divisors (32027711202648).

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

12103409285352 is a wasteful number, since it uses less digits than its factorization.

12103409285352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12103409285352 in words is "twelve trillion, one hundred three billion, four hundred nine million, two hundred eighty-five thousand, three hundred fifty-two".