12141304140 has 384 divisors, whose sum is σ = 41617981440. Its totient is φ = 2586221568.

The previous prime is 12141304127. The next prime is 12141304157. The reversal of 12141304140 is 4140314121.

It is a super-2 number, since 2×12141304140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72702337 + ... + 72702503.

It is an arithmetic number, because the mean of its divisors is an integer number (108380160).

Almost surely, 2^12141304140 is an apocalyptic number.

12141304140 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 12141304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808990720).

12141304140 is an abundant number, since it is smaller than the sum of its proper divisors (29476677300).

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

12141304140 is a wasteful number, since it uses less digits than its factorization.

12141304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12141304140 its reverse (4140314121), we get a palindrome (16281618261).

The spelling of 12141304140 in words is "twelve billion, one hundred forty-one million, three hundred four thousand, one hundred forty".