12020032000 has 160 divisors (see below), whose sum is σ = 30121915824. Its totient is φ = 4784128000.

The previous prime is 12020031943. The next prime is 12020032097. The reversal of 12020032000 is 23002021.

It can be written as a sum of positive squares in 8 ways, for example, as 4864225536 + 7155806464 = 69744^2 + 84592^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18751680 + ... + 18752320.

Almost surely, 2^12020032000 is an apocalyptic number.

12020032000 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 12020032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060957912).

12020032000 is an abundant number, since it is smaller than the sum of its proper divisors (18101883824).

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

12020032000 is an frugal number, since it uses more digits than its factorization.

12020032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12020032000 its reverse (23002021), we get a palindrome (12043034021).

The spelling of 12020032000 in words is "twelve billion, twenty million, thirty-two thousand".