12778223665200 has 1920 divisors, whose sum is σ = 52010242560000. Its totient is φ = 2679759667200.

The previous prime is 12778223665169. The next prime is 12778223665237. The reversal of 12778223665200 is 256632287721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143575546756 + ... + 143575546844.

It is an arithmetic number, because the mean of its divisors is an integer number (27088668000).

Almost surely, 2^{12778223665200} is an apocalyptic number.

12778223665200 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 12778223665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26005121280000).

12778223665200 is an abundant number, since it is smaller than the sum of its proper divisors (39232018894800).

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

12778223665200 is an equidigital number, since it uses as much as digits as its factorization.

12778223665200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 12778223665200 in words is "twelve trillion, seven hundred seventy-eight billion, two hundred twenty-three million, six hundred sixty-five thousand, two hundred".