12068121812460 has 192 divisors, whose sum is σ = 40899286858752. Its totient is φ = 2595554648064.

The previous prime is 12068121812429. The next prime is 12068121812489. The reversal of 12068121812460 is 6421812186021.

It is a super-2 number, since 2×12068121812460² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30383304 + ... + 30777936.

It is an arithmetic number, because the mean of its divisors is an integer number (213017119056).

Almost surely, 2^{12068121812460} is an apocalyptic number.

12068121812460 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 12068121812460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20449643429376).

12068121812460 is an abundant number, since it is smaller than the sum of its proper divisors (28831165046292).

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

12068121812460 is a wasteful number, since it uses less digits than its factorization.

12068121812460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398952 (or 398950 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

Adding to 12068121812460 its reverse (6421812186021), we get a palindrome (18489933998481).

The spelling of 12068121812460 in words is "twelve trillion, sixty-eight billion, one hundred twenty-one million, eight hundred twelve thousand, four hundred sixty".