12122141000 has 64 divisors (see below), whose sum is σ = 28412242560. Its totient is φ = 4840920000.

The previous prime is 12122140991. The next prime is 12122141011. The reversal of 12122141000 is 14122121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621395 + ... + 640605.

It is an arithmetic number, because the mean of its divisors is an integer number (443941290).

Almost surely, 2^12122141000 is an apocalyptic number.

12122141000 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 12122141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206121280).

12122141000 is an abundant number, since it is smaller than the sum of its proper divisors (16290101560).

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

12122141000 is a wasteful number, since it uses less digits than its factorization.

12122141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19863 (or 19849 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122141000 its reverse (14122121), we get a palindrome (12136263121).

The spelling of 12122141000 in words is "twelve billion, one hundred twenty-two million, one hundred forty-one thousand".