123132123100 has 144 divisors (see below), whose sum is σ = 307247557120. Its totient is φ = 41957740800.

The previous prime is 123132123067. The next prime is 123132123137. The reversal of 123132123100 is 1321231321.

It is a super-2 number, since 2×123132123100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133984441 + ... + 133985359.

Almost surely, 2^123132123100 is an apocalyptic number.

123132123100 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 123132123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153623778560).

123132123100 is an abundant number, since it is smaller than the sum of its proper divisors (184115434020).

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

123132123100 is a wasteful number, since it uses less digits than its factorization.

123132123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 123132123100 its reverse (1321231321), we get a palindrome (124453354421).

The spelling of 123132123100 in words is "one hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred".