12354663210120 has 1728 divisors, whose sum is σ = 52770904954560. Its totient is φ = 2478034944000.

The previous prime is 12354663210037. The next prime is 12354663210191. The reversal of 12354663210120 is 2101236645321.

12354663210120 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 4 + 6 + 632 + 1 + 0 + 12 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 122323398070 + ... + 122323398170.

It is an arithmetic number, because the mean of its divisors is an integer number (30538718145).

Almost surely, 2^{12354663210120} is an apocalyptic number.

12354663210120 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 12354663210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385452477280).

12354663210120 is an abundant number, since it is smaller than the sum of its proper divisors (40416241744440).

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

12354663210120 is a wasteful number, since it uses less digits than its factorization.

12354663210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12354663210120 its reverse (2101236645321), we get a palindrome (14455899855441).

The spelling of 12354663210120 in words is "twelve trillion, three hundred fifty-four billion, six hundred sixty-three million, two hundred ten thousand, one hundred twenty".