12300312222000 has 480 divisors, whose sum is σ = 46891601602560. Its totient is φ = 2980292160000.

The previous prime is 12300312221999. The next prime is 12300312222001. The reversal of 12300312222000 is 22221300321.

12300312222000 is a `hidden beast` number, since 12 + 300 + 312 + 22 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12300312221999) and next prime (12300312222001).

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

It is not an unprimeable number, because it can be changed into a prime (12300312222001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391826305 + ... + 391857695.

It is an arithmetic number, because the mean of its divisors is an integer number (97690836672).

Almost surely, 2^{12300312222000} is an apocalyptic number.

12300312222000 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 12300312222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23445800801280).

12300312222000 is an abundant number, since it is smaller than the sum of its proper divisors (34591289380560).

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

12300312222000 is a wasteful number, since it uses less digits than its factorization.

12300312222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33410 (or 33391 counting only the distinct ones).

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

Adding to 12300312222000 its reverse (22221300321), we get a palindrome (12322533522321).

The spelling of 12300312222000 in words is "twelve trillion, three hundred billion, three hundred twelve million, two hundred twenty-two thousand".