32123013132 has 192 divisors, whose sum is σ = 89982627840. Its totient is φ = 8725920000.

The previous prime is 32123013127. The next prime is 32123013149. The reversal of 32123013132 is 23131032123.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32123013099 and 32123013108.

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 63 ways as a sum of consecutive naturals, for example, 65423407 + ... + 65423897.

It is an arithmetic number, because the mean of its divisors is an integer number (468659520).

Almost surely, 2^32123013132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32123013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44991313920).

32123013132 is an abundant number, since it is smaller than the sum of its proper divisors (57859614708).

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

32123013132 is a wasteful number, since it uses less digits than its factorization.

32123013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32123013132 its reverse (23131032123), we get a palindrome (55254045255).

The spelling of 32123013132 in words is "thirty-two billion, one hundred twenty-three million, thirteen thousand, one hundred thirty-two".