12277166776320 has 1792 divisors, whose sum is σ = 45495019560960. Its totient is φ = 2809764249600.

The previous prime is 12277166776309. The next prime is 12277166776333. The reversal of 12277166776320 is 2367766177221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172917841885 + ... + 172917841955.

Almost surely, 2^{12277166776320} is an apocalyptic number.

12277166776320 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 12277166776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22747509780480).

12277166776320 is an abundant number, since it is smaller than the sum of its proper divisors (33217852784640).

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

12277166776320 is a wasteful number, since it uses less digits than its factorization.

12277166776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 12277166776320 in words is "twelve trillion, two hundred seventy-seven billion, one hundred sixty-six million, seven hundred seventy-six thousand, three hundred twenty".