12086101440 has 672 divisors, whose sum is σ = 49846358016. Its totient is φ = 2629877760.

The previous prime is 12086101439. The next prime is 12086101441. The reversal of 12086101440 is 4410168021.

It is a happy number.

12086101440 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 610 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12086101439) and next prime (12086101441).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086101441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 51871564 + ... + 51871796.

It is an arithmetic number, because the mean of its divisors is an integer number (74176128).

Almost surely, 2^12086101440 is an apocalyptic number.

12086101440 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 12086101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923179008).

12086101440 is an abundant number, since it is smaller than the sum of its proper divisors (37760256576).

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

12086101440 is a wasteful number, since it uses less digits than its factorization.

12086101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12086101440 its reverse (4410168021), we get a palindrome (16496269461).

It can be divided in two parts, 12086 and 101440, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 12086101440 in words is "twelve billion, eighty-six million, one hundred one thousand, four hundred forty".