10032124232000 has 224 divisors, whose sum is σ = 26788972523040. Its totient is φ = 3699559219200.

The previous prime is 10032124231973. The next prime is 10032124232027. The reversal of 10032124232000 is 23242123001.

It is an interprime number because it is at equal distance from previous prime (10032124231973) and next prime (10032124232027).

It can be written as a sum of positive squares in 16 ways, for example, as 9054177288256 + 977946943744 = 3009016^2 + 988912^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 84076382 + ... + 84195618.

It is an arithmetic number, because the mean of its divisors is an integer number (119593627335).

Almost surely, 2^{10032124232000} is an apocalyptic number.

10032124232000 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 10032124232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394486261520).

10032124232000 is an abundant number, since it is smaller than the sum of its proper divisors (16756848291040).

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

10032124232000 is a wasteful number, since it uses less digits than its factorization.

10032124232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120086 (or 120066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10032124232000 its reverse (23242123001), we get a palindrome (10055366355001).

The spelling of 10032124232000 in words is "ten trillion, thirty-two billion, one hundred twenty-four million, two hundred thirty-two thousand".