10501232000 has 128 divisors (see below), whose sum is σ = 29838818880. Its totient is φ = 3600384000.

The previous prime is 10501231991. The next prime is 10501232003. The reversal of 10501232000 is 23210501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10501232000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501232003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65120 + ... + 158880.

Almost surely, 2^10501232000 is an apocalyptic number.

10501232000 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 10501232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919409440).

10501232000 is an abundant number, since it is smaller than the sum of its proper divisors (19337586880).

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

10501232000 is an frugal number, since it uses more digits than its factorization.

10501232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93797 (or 93775 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 10501232000 its reverse (23210501), we get a palindrome (10524442501).

The spelling of 10501232000 in words is "ten billion, five hundred one million, two hundred thirty-two thousand".