12146771669760 has 864 divisors, whose sum is σ = 51777210296448. Its totient is φ = 2560249036800.

The previous prime is 12146771669749. The next prime is 12146771669777. The reversal of 12146771669760 is 6796617764121.

12146771669760 is a `hidden beast` number, since 1 + 2 + 1 + 467 + 7 + 166 + 9 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145808460 + ... + 1145819060.

It is an arithmetic number, because the mean of its divisors is an integer number (59927326732).

Almost surely, 2^{12146771669760} is an apocalyptic number.

12146771669760 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 12146771669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25888605148224).

12146771669760 is an abundant number, since it is smaller than the sum of its proper divisors (39630438626688).

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

12146771669760 is a wasteful number, since it uses less digits than its factorization.

12146771669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 12146771669760 in words is "twelve trillion, one hundred forty-six billion, seven hundred seventy-one million, six hundred sixty-nine thousand, seven hundred sixty".