12142141000 has 256 divisors, whose sum is σ = 32206636800. Its totient is φ = 4246528000.

The previous prime is 12142140961. The next prime is 12142141003. The reversal of 12142141000 is 14124121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12142141003) 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, 34396824 + ... + 34397176.

It is an arithmetic number, because the mean of its divisors is an integer number (125807175).

Almost surely, 2^12142141000 is an apocalyptic number.

12142141000 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 12142141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103318400).

12142141000 is an abundant number, since it is smaller than the sum of its proper divisors (20064495800).

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

12142141000 is a wasteful number, since it uses less digits than its factorization.

12142141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12142141000 its reverse (14124121), we get a palindrome (12156265121).

The spelling of 12142141000 in words is "twelve billion, one hundred forty-two million, one hundred forty-one thousand".