12001000032 has 216 divisors, whose sum is σ = 40625040456. Its totient is φ = 3348946944.

The previous prime is 12001000031. The next prime is 12001000049. The reversal of 12001000032 is 23000010021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000999978 and 12001000023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001000031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596928 + ... + 616704.

It is an arithmetic number, because the mean of its divisors is an integer number (188078891).

Almost surely, 2^12001000032 is an apocalyptic number.

12001000032 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 12001000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20312520228).

12001000032 is an abundant number, since it is smaller than the sum of its proper divisors (28624040424).

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

12001000032 is a wasteful number, since it uses less digits than its factorization.

12001000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19850 (or 19832 counting only the distinct ones).

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

Adding to 12001000032 its reverse (23000010021), we get a palindrome (35001010053).

The spelling of 12001000032 in words is "twelve billion, one million, thirty-two", and thus it is an aban number and an uban number.