12600420331968 has 1344 divisors, whose sum is σ = 46372396195840. Its totient is φ = 3190840418304.

The previous prime is 12600420331943. The next prime is 12600420331973. The reversal of 12600420331968 is 86913302400621.

12600420331968 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 420 + 33 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 8166182205 + ... + 8166183747.

Almost surely, 2^{12600420331968} is an apocalyptic number.

12600420331968 is a gapful number since it is divisible by the number (18) 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 12600420331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186198097920).

12600420331968 is an abundant number, since it is smaller than the sum of its proper divisors (33771975863872).

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

12600420331968 is a wasteful number, since it uses less digits than its factorization.

12600420331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12600420331968 in words is "twelve trillion, six hundred billion, four hundred twenty million, three hundred thirty-one thousand, nine hundred sixty-eight".