10112032000 has 216 divisors, whose sum is σ = 29307587400. Its totient is φ = 3466444800.

The previous prime is 10112031997. The next prime is 10112032003. The reversal of 10112032000 is 23021101.

It is an interprime number because it is at equal distance from previous prime (10112031997) and next prime (10112032003).

It can be written as a sum of positive squares in 4 ways, for example, as 86415616 + 10025616384 = 9296^2 + 100128^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112032003) 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, 1564776 + ... + 1571224.

It is an arithmetic number, because the mean of its divisors is an integer number (135683275).

Almost surely, 2^10112032000 is an apocalyptic number.

10112032000 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 10112032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14653793700).

10112032000 is an abundant number, since it is smaller than the sum of its proper divisors (19195555400).

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

10112032000 is an frugal number, since it uses more digits than its factorization.

10112032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10112032000 its reverse (23021101), we get a palindrome (10135053101).

The spelling of 10112032000 in words is "ten billion, one hundred twelve million, thirty-two thousand".