12035442000 has 160 divisors (see below), whose sum is σ = 39705494400. Its totient is φ = 3134745600.

The previous prime is 12035441987. The next prime is 12035442019. The reversal of 12035442000 is 24453021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234676 + ... + 281324.

It is an arithmetic number, because the mean of its divisors is an integer number (248159340).

Almost surely, 2^12035442000 is an apocalyptic number.

12035442000 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 12035442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852747200).

12035442000 is an abundant number, since it is smaller than the sum of its proper divisors (27670052400).

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

12035442000 is a wasteful number, since it uses less digits than its factorization.

12035442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46718 (or 46702 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 12035442000 its reverse (24453021), we get a palindrome (12059895021).

The spelling of 12035442000 in words is "twelve billion, thirty-five million, four hundred forty-two thousand".