123321210012 has 864 divisors, whose sum is σ = 445976766144. Its totient is φ = 28217548800.

The previous prime is 123321209969. The next prime is 123321210053. The reversal of 123321210012 is 210012123321.

123321210012 is a `hidden beast` number, since 123 + 321 + 210 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 681332562 + ... + 681332742.

Almost surely, 2^123321210012 is an apocalyptic number.

123321210012 is a gapful number since it is divisible by the number (12) 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 123321210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222988383072).

123321210012 is an abundant number, since it is smaller than the sum of its proper divisors (322655556132).

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

123321210012 is a wasteful number, since it uses less digits than its factorization.

123321210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123321210012 its reverse (210012123321), we get a palindrome (333333333333).

It can be divided in two parts, 123321 and 210012, that multiplied together give a palindrome (25898889852).

The spelling of 123321210012 in words is "one hundred twenty-three billion, three hundred twenty-one million, two hundred ten thousand, twelve".