12032033000 has 128 divisors (see below), whose sum is σ = 30427881120. Its totient is φ = 4426905600.

The previous prime is 12032032949. The next prime is 12032033009. The reversal of 12032033000 is 33023021.

It can be written as a sum of positive squares in 16 ways, for example, as 7739424676 + 4292608324 = 87974^2 + 65518^2 .

It is a super-2 number, since 2×12032033000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12032033009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067522 + ... + 4070478.

Almost surely, 2^12032033000 is an apocalyptic number.

12032033000 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 12032033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213940560).

12032033000 is an abundant number, since it is smaller than the sum of its proper divisors (18395848120).

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

12032033000 is a wasteful number, since it uses less digits than its factorization.

12032033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 12032033000 its reverse (33023021), we get a palindrome (12065056021).

The spelling of 12032033000 in words is "twelve billion, thirty-two million, thirty-three thousand".