12032017431000 has 256 divisors, whose sum is σ = 43009755909120. Its totient is φ = 2743315200000.

The previous prime is 12032017430987. The next prime is 12032017431001. The reversal of 12032017431000 is 13471023021.

It is a happy number.

It is a super-2 number, since 2×12032017431000² (a number of 27 digits) contains 22 as substring.

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 (12032017431001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7706595 + ... + 9135405.

It is an arithmetic number, because the mean of its divisors is an integer number (168006859020).

Almost surely, 2^{12032017431000} is an apocalyptic number.

12032017431000 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 12032017431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504877954560).

12032017431000 is an abundant number, since it is smaller than the sum of its proper divisors (30977738478120).

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

12032017431000 is a wasteful number, since it uses less digits than its factorization.

12032017431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429243 (or 1429229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 12032017431000 its reverse (13471023021), we get a palindrome (12045488454021).

The spelling of 12032017431000 in words is "twelve trillion, thirty-two billion, seventeen million, four hundred thirty-one thousand".