12142759680 has 288 divisors, whose sum is σ = 44097419520. Its totient is φ = 3162378240.

The previous prime is 12142759663. The next prime is 12142759693. The reversal of 12142759680 is 8695724121.

12142759680 is a `hidden beast` number, since 1 + 214 + 275 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12142759680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481995 + ... + 1490165.

It is an arithmetic number, because the mean of its divisors is an integer number (153116040).

Almost surely, 2^12142759680 is an apocalyptic number.

12142759680 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 12142759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048709760).

12142759680 is an abundant number, since it is smaller than the sum of its proper divisors (31954659840).

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

12142759680 is an equidigital number, since it uses as much as digits as its factorization.

12142759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12142759680 in words is "twelve billion, one hundred forty-two million, seven hundred fifty-nine thousand, six hundred eighty".