10001232000 has 320 divisors, whose sum is σ = 37149666840. Its totient is φ = 2666649600.

The previous prime is 10001231963. The next prime is 10001232041. The reversal of 10001232000 is 23210001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2892718656 + 7108513344 = 53784^2 + 84312^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1292142 + ... + 1299858.

Almost surely, 2^10001232000 is an apocalyptic number.

10001232000 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 10001232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574833420).

10001232000 is an abundant number, since it is smaller than the sum of its proper divisors (27148434840).

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

10001232000 is an frugal number, since it uses more digits than its factorization.

10001232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10001232000 its reverse (23210001), we get a palindrome (10024442001).

The spelling of 10001232000 in words is "ten billion, one million, two hundred thirty-two thousand".