12229818773760 has 2304 divisors, whose sum is σ = 52518961152000. Its totient is φ = 2725815214080.

The previous prime is 12229818773723. The next prime is 12229818773761. The reversal of 12229818773760 is 6737781892221.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (12229818773761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45128482425 + ... + 45128482695.

It is an arithmetic number, because the mean of its divisors is an integer number (22794688000).

Almost surely, 2^{12229818773760} is an apocalyptic number.

12229818773760 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 12229818773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26259480576000).

12229818773760 is an abundant number, since it is smaller than the sum of its proper divisors (40289142378240).

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

12229818773760 is an frugal number, since it uses more digits than its factorization.

12229818773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 12229818773760 in words is "twelve trillion, two hundred twenty-nine billion, eight hundred eighteen million, seven hundred seventy-three thousand, seven hundred sixty".