12056866629120 has 960 divisors, whose sum is σ = 43264906850880. Its totient is φ = 3101687808000.

The previous prime is 12056866629089. The next prime is 12056866629151. The reversal of 12056866629120 is 2192666865021.

It is an interprime number because it is at equal distance from previous prime (12056866629089) and next prime (12056866629151).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18809464000 + ... + 18809464640.

It is an arithmetic number, because the mean of its divisors is an integer number (45067611303).

Almost surely, 2^{12056866629120} is an apocalyptic number.

12056866629120 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 12056866629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632453425440).

12056866629120 is an abundant number, since it is smaller than the sum of its proper divisors (31208040221760).

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

12056866629120 is a wasteful number, since it uses less digits than its factorization.

12056866629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12056866629120 in words is "twelve trillion, fifty-six billion, eight hundred sixty-six million, six hundred twenty-nine thousand, one hundred twenty".