12354561123300 has 288 divisors, whose sum is σ = 43640048524800. Its totient is φ = 2973497040000.

The previous prime is 12354561123293. The next prime is 12354561123313. The reversal of 12354561123300 is 332116545321.

12354561123300 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 4 + 5 + 611 + 2 + 3 + 30 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2631975 + ... + 5624625.

Almost surely, 2^{12354561123300} is an apocalyptic number.

12354561123300 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 12354561123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21820024262400).

12354561123300 is an abundant number, since it is smaller than the sum of its proper divisors (31285487401500).

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

12354561123300 is a wasteful number, since it uses less digits than its factorization.

12354561123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992824 (or 2992811 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 12354561123300 its reverse (332116545321), we get a palindrome (12686677668621).

The spelling of 12354561123300 in words is "twelve trillion, three hundred fifty-four billion, five hundred sixty-one million, one hundred twenty-three thousand, three hundred".