12261211776 has 96 divisors (see below), whose sum is σ = 38490491520. Its totient is φ = 3715514880.

The previous prime is 12261211771. The next prime is 12261211793. The reversal of 12261211776 is 67711216221.

12261211776 is a `hidden beast` number, since 1 + 22 + 612 + 1 + 17 + 7 + 6 = 666.

12261211776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12261211776.

It is not an unprimeable number, because it can be changed into a prime (12261211771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471120 + ... + 496463.

It is an arithmetic number, because the mean of its divisors is an integer number (400942620).

Almost surely, 2^12261211776 is an apocalyptic number.

12261211776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12261211776 is an abundant number, since it is smaller than the sum of its proper divisors (26229279744).

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

12261211776 is a wasteful number, since it uses less digits than its factorization.

12261211776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967614 (or 967599 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

Adding to 12261211776 its reverse (67711216221), we get a palindrome (79972427997).

The spelling of 12261211776 in words is "twelve billion, two hundred sixty-one million, two hundred eleven thousand, seven hundred seventy-six".