12077825760000 has 7200 divisors, whose sum is σ = 64901774784000. Its totient is φ = 2194698240000.

The previous prime is 12077825759999. The next prime is 12077825760023. The reversal of 12077825760000 is 6752877021.

12077825760000 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 78 + 2 + 576 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 799 ways as a sum of consecutive naturals, for example, 635675039991 + ... + 635675040009.

Almost surely, 2^{12077825760000} is an apocalyptic number.

12077825760000 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 12077825760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32450887392000).

12077825760000 is an abundant number, since it is smaller than the sum of its proper divisors (52823949024000).

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

12077825760000 is an equidigital number, since it uses as much as digits as its factorization.

12077825760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 12077825760000 in words is "twelve trillion, seventy-seven billion, eight hundred twenty-five million, seven hundred sixty thousand".