123123132132 has 192 divisors, whose sum is σ = 392268441600. Its totient is φ = 29019525120.

The previous prime is 123123132089. The next prime is 123123132137. The reversal of 123123132132 is 231231321321.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123123132137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621844 + ... + 795572.

It is an arithmetic number, because the mean of its divisors is an integer number (2043064800).

Almost surely, 2^123123132132 is an apocalyptic number.

123123132132 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 123123132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196134220800).

123123132132 is an abundant number, since it is smaller than the sum of its proper divisors (269145309468).

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

123123132132 is a wasteful number, since it uses less digits than its factorization.

123123132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173826 (or 173824 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 123123132132 its reverse (231231321321), we get a palindrome (354354453453).

It can be divided in two parts, 123123 and 132132, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 123123132132 in words is "one hundred twenty-three billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-two".