12141141100 has 144 divisors (see below), whose sum is σ = 30486548736. Its totient is φ = 4153248000.

The previous prime is 12141141071. The next prime is 12141141109. The reversal of 12141141100 is 114114121.

It is not an unprimeable number, because it can be changed into a prime (12141141109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539367 + ... + 1547233.

It is an arithmetic number, because the mean of its divisors is an integer number (211712144).

Almost surely, 2^12141141100 is an apocalyptic number.

12141141100 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 12141141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243274368).

12141141100 is an abundant number, since it is smaller than the sum of its proper divisors (18345407636).

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

12141141100 is a wasteful number, since it uses less digits than its factorization.

12141141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12141141100 its reverse (114114121), we get a palindrome (12255255221).

The spelling of 12141141100 in words is "twelve billion, one hundred forty-one million, one hundred forty-one thousand, one hundred".