12068606520100 has 81 divisors (see below), whose sum is σ = 28359430084083. Its totient is φ = 4455934117440.

The previous prime is 12068606520049. The next prime is 12068606520161. The reversal of 12068606520100 is 102560686021.

The square root of 12068606520100 is 3473990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3110701183524 + 8957905336576 = 1763718^2 + 2992976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12068606520100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 451605339 + ... + 451632061.

Almost surely, 2^{12068606520100} is an apocalyptic number.

12068606520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12068606520100 is the 3473990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12068606520100

12068606520100 is an abundant number, since it is smaller than the sum of its proper divisors (16290823563983).

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

12068606520100 is an frugal number, since it uses more digits than its factorization.

12068606520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53486 (or 26743 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 12068606520100 in words is "twelve trillion, sixty-eight billion, six hundred six million, five hundred twenty thousand, one hundred".