12312223002000 has 240 divisors, whose sum is σ = 44051334752880. Its totient is φ = 3203179776000.

The previous prime is 12312223001999. The next prime is 12312223002061. The reversal of 12312223002000 is 20032221321.

12312223002000 is a `hidden beast` number, since 1 + 231 + 2 + 2 + 230 + 0 + 200 + 0 = 666.

12312223002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5019177083904 + 7293045918096 = 2240352^2 + 2700564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7603615 + ... + 9079614.

It is an arithmetic number, because the mean of its divisors is an integer number (183547228137).

Almost surely, 2^{12312223002000} is an apocalyptic number.

12312223002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312223002000 is an abundant number, since it is smaller than the sum of its proper divisors (31739111750880).

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

12312223002000 is a wasteful number, since it uses less digits than its factorization.

12312223002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16683299 (or 16683280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12312223002000 its reverse (20032221321), we get a palindrome (12332255223321).

The spelling of 12312223002000 in words is "twelve trillion, three hundred twelve billion, two hundred twenty-three million, two thousand".