12345341600 has 72 divisors (see below), whose sum is σ = 30245868828. Its totient is φ = 4920473600.

The previous prime is 12345341551. The next prime is 12345341623. The reversal of 12345341600 is 614354321.

It can be written as a sum of positive squares in 6 ways, for example, as 4600637584 + 7744704016 = 67828^2 + 88004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197342 + ... + 252258.

Almost surely, 2^12345341600 is an apocalyptic number.

12345341600 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 12345341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122934414).

12345341600 is an abundant number, since it is smaller than the sum of its proper divisors (17900527228).

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

12345341600 is a wasteful number, since it uses less digits than its factorization.

12345341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55218 (or 55205 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 12345341600 its reverse (614354321), we get a palindrome (12959695921).

The spelling of 12345341600 in words is "twelve billion, three hundred forty-five million, three hundred forty-one thousand, six hundred".