10032121123232 has 192 divisors, whose sum is σ = 22028940662400. Its totient is φ = 4467217526784.

The previous prime is 10032121123223. The next prime is 10032121123253. The reversal of 10032121123232 is 23232112123001.

It is a junction number, because it is equal to n+sod(n) for n = 10032121123198 and 10032121123207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1474657943 + ... + 1474664745.

It is an arithmetic number, because the mean of its divisors is an integer number (114734065950).

Almost surely, 2^{10032121123232} 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 10032121123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014470331200).

10032121123232 is an abundant number, since it is smaller than the sum of its proper divisors (11996819539168).

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

10032121123232 is a wasteful number, since it uses less digits than its factorization.

10032121123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10032121123232 its reverse (23232112123001), we get a palindrome (33264233246233).

The spelling of 10032121123232 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred thirty-two".