10204127232 has 336 divisors, whose sum is σ = 31615258080. Its totient is φ = 2901934080.

The previous prime is 10204127221. The next prime is 10204127239. The reversal of 10204127232 is 23272140201.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204127239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248881132 + ... + 248881172.

It is an arithmetic number, because the mean of its divisors is an integer number (94093030).

Almost surely, 2^10204127232 is an apocalyptic number.

10204127232 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 10204127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807629040).

10204127232 is an abundant number, since it is smaller than the sum of its proper divisors (21411130848).

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

10204127232 is an equidigital number, since it uses as much as digits as its factorization.

10204127232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 10204127232 its reverse (23272140201), we get a palindrome (33476267433).

The spelling of 10204127232 in words is "ten billion, two hundred four million, one hundred twenty-seven thousand, two hundred thirty-two".