123212330100 has 216 divisors, whose sum is σ = 389292583680. Its totient is φ = 32594768640.

The previous prime is 123212330089. The next prime is 123212330123. The reversal of 123212330100 is 1033212321.

123212330100 is a `hidden beast` number, since 1 + 2 + 321 + 2 + 330 + 10 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 77833909 + ... + 77835491.

It is an arithmetic number, because the mean of its divisors is an integer number (1802280480).

Almost surely, 2^123212330100 is an apocalyptic number.

123212330100 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 123212330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194646291840).

123212330100 is an abundant number, since it is smaller than the sum of its proper divisors (266080253580).

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

123212330100 is a wasteful number, since it uses less digits than its factorization.

123212330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123212330100 its reverse (1033212321), we get a palindrome (124245542421).

The spelling of 123212330100 in words is "one hundred twenty-three billion, two hundred twelve million, three hundred thirty thousand, one hundred".