12141005040 has 120 divisors (see below), whose sum is σ = 41067215280. Its totient is φ = 3214282752.

The previous prime is 12141005033. The next prime is 12141005047. The reversal of 12141005040 is 4050014121.

12141005040 is a `hidden beast` number, since 121 + 41 + 0 + 0 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12141005033) and next prime (12141005047).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141005047) 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, 39424 + ... + 160736.

It is an arithmetic number, because the mean of its divisors is an integer number (342226794).

Almost surely, 2^12141005040 is an apocalyptic number.

12141005040 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 12141005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533607640).

12141005040 is an abundant number, since it is smaller than the sum of its proper divisors (28926210240).

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

12141005040 is a wasteful number, since it uses less digits than its factorization.

12141005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121471 (or 121462 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12141005040 its reverse (4050014121), we get a palindrome (16191019161).

The spelling of 12141005040 in words is "twelve billion, one hundred forty-one million, five thousand, forty".