12068511952320 has 448 divisors, whose sum is σ = 43646423654400. Its totient is φ = 3177517704192.

The previous prime is 12068511952319. The next prime is 12068511952433. The reversal of 12068511952320 is 2325911586021.

12068511952320 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 8 + 5 + 119 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55178217 + ... + 55396503.

It is an arithmetic number, because the mean of its divisors is an integer number (97425052800).

Almost surely, 2^{12068511952320} is an apocalyptic number.

12068511952320 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 12068511952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21823211827200).

12068511952320 is an abundant number, since it is smaller than the sum of its proper divisors (31577911702080).

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

12068511952320 is an frugal number, since it uses more digits than its factorization.

12068511952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218404 (or 218376 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12068511952320 in words is "twelve trillion, sixty-eight billion, five hundred eleven million, nine hundred fifty-two thousand, three hundred twenty".