12068009001216 has 567 divisors, whose sum is σ = 40787471161983. Its totient is φ = 3431661327360.

The previous prime is 12068009001193. The next prime is 12068009001263. The reversal of 12068009001216 is 61210090086021.

The square root of 12068009001216 is 3473904.

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

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 62 ways as a sum of consecutive naturals, for example, 57194355351 + ... + 57194355561.

Almost surely, 2^{12068009001216} is an apocalyptic number.

12068009001216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12068009001216 is the 3473904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12068009001216

12068009001216 is an abundant number, since it is smaller than the sum of its proper divisors (28719462160767).

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

12068009001216 is an frugal number, since it uses more digits than its factorization.

12068009001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 12068009001216 by its sum of digits (36), we get a square (434448324043776 = 20843424²).

12068009001216 divided by its sum of digits (36) gives a square (335222472256 = 578984²).

Adding to 12068009001216 its reverse (61210090086021), we get a palindrome (73278099087237).

The spelling of 12068009001216 in words is "twelve trillion, sixty-eight billion, nine million, one thousand, two hundred sixteen".