12275704000 has 224 divisors, whose sum is σ = 34935054336. Its totient is φ = 4185676800.

The previous prime is 12275703997. The next prime is 12275704019. The reversal of 12275704000 is 40757221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12275704000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12487509 + ... + 12488491.

It is an arithmetic number, because the mean of its divisors is an integer number (155960064).

Almost surely, 2^12275704000 is an apocalyptic number.

12275704000 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 12275704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467527168).

12275704000 is an abundant number, since it is smaller than the sum of its proper divisors (22659350336).

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

12275704000 is an equidigital number, since it uses as much as digits as its factorization.

12275704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The spelling of 12275704000 in words is "twelve billion, two hundred seventy-five million, seven hundred four thousand".