12116055456120 has 1536 divisors, whose sum is σ = 48009314304000. Its totient is φ = 2442109824000.

The previous prime is 12116055456077. The next prime is 12116055456137. The reversal of 12116055456120 is 2165455061121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44708691585 + ... + 44708691855.

It is an arithmetic number, because the mean of its divisors is an integer number (31256064000).

Almost surely, 2^{12116055456120} is an apocalyptic number.

12116055456120 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 12116055456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24004657152000).

12116055456120 is an abundant number, since it is smaller than the sum of its proper divisors (35893258847880).

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

12116055456120 is a wasteful number, since it uses less digits than its factorization.

12116055456120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 12116055456120 in words is "twelve trillion, one hundred sixteen billion, fifty-five million, four hundred fifty-six thousand, one hundred twenty".