12069837210816 has 840 divisors, whose sum is σ = 45979440883200. Its totient is φ = 3095282211840.

The previous prime is 12069837210811. The next prime is 12069837210829. The reversal of 12069837210816 is 61801273896021.

12069837210816 is a `hidden beast` number, since 120 + 69 + 8 + 372 + 10 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12069837210811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 220712565 + ... + 220767243.

Almost surely, 2^{12069837210816} is an apocalyptic number.

12069837210816 is a gapful number since it is divisible by the number (16) 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 12069837210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22989720441600).

12069837210816 is an abundant number, since it is smaller than the sum of its proper divisors (33909603672384).

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

12069837210816 is a wasteful number, since it uses less digits than its factorization.

12069837210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54807 (or 54781 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12069837210816 in words is "twelve trillion, sixty-nine billion, eight hundred thirty-seven million, two hundred ten thousand, eight hundred sixteen".