23123232132 has 288 divisors, whose sum is σ = 73574323200. Its totient is φ = 5499774720.

The previous prime is 23123232131. The next prime is 23123232233.

23123232132 is nontrivially palindromic in base 10.

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 (23123232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18365719 + ... + 18366977.

It is an arithmetic number, because the mean of its divisors is an integer number (255466400).

Almost surely, 2^23123232132 is an apocalyptic number.

23123232132 is a gapful number since it is divisible by the number (22) 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 23123232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787161600).

23123232132 is an abundant number, since it is smaller than the sum of its proper divisors (50451091068).

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

23123232132 is a wasteful number, since it uses less digits than its factorization.

23123232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1434 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

It can be divided in two parts, 23123 and 232132, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 23123232132 in words is "twenty-three billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-two".