12004141200 has 120 divisors (see below), whose sum is σ = 39083885376. Its totient is φ = 3148608000.

The previous prime is 12004141151. The next prime is 12004141207. The reversal of 12004141200 is 214140021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×12004141200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12004141200.

It is not an unprimeable number, because it can be changed into a prime (12004141207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8796 + ... + 155195.

Almost surely, 2^12004141200 is an apocalyptic number.

12004141200 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 12004141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541942688).

12004141200 is an abundant number, since it is smaller than the sum of its proper divisors (27079744176).

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

12004141200 is a wasteful number, since it uses less digits than its factorization.

12004141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164073 (or 164062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12004141200 its reverse (214140021), we get a palindrome (12218281221).

The spelling of 12004141200 in words is "twelve billion, four million, one hundred forty-one thousand, two hundred".