12275712000 has 640 divisors, whose sum is σ = 47007469080. Its totient is φ = 3185049600.

The previous prime is 12275711983. The next prime is 12275712011. The reversal of 12275712000 is 21757221.

It can be written as a sum of positive squares in 4 ways, for example, as 6318342144 + 5957369856 = 79488^2 + 77184^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 331775982 + ... + 331776018.

Almost surely, 2^12275712000 is an apocalyptic number.

12275712000 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 12275712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503734540).

12275712000 is an abundant number, since it is smaller than the sum of its proper divisors (34731757080).

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

12275712000 is an frugal number, since it uses more digits than its factorization.

12275712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 12275712000 in words is "twelve billion, two hundred seventy-five million, seven hundred twelve thousand".