12142035360 has 1152 divisors, whose sum is σ = 54596505600. Its totient is φ = 2438553600.

The previous prime is 12142035359. The next prime is 12142035361. The reversal of 12142035360 is 6353024121.

12142035360 is a `hidden beast` number, since 121 + 4 + 2 + 0 + 3 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12142035359) and next prime (12142035361).

It is not an unprimeable number, because it can be changed into a prime (12142035361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199049730 + ... + 199049790.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 2^12142035360 is an apocalyptic number.

12142035360 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 12142035360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298252800).

12142035360 is an abundant number, since it is smaller than the sum of its proper divisors (42454470240).

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

12142035360 is a wasteful number, since it uses less digits than its factorization.

12142035360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12142035360 its reverse (6353024121), we get a palindrome (18495059481).

The spelling of 12142035360 in words is "twelve billion, one hundred forty-two million, thirty-five thousand, three hundred sixty".