12142586880 has 880 divisors, whose sum is σ = 48507022080. Its totient is φ = 2890432512.

The previous prime is 12142586843. The next prime is 12142586891. The reversal of 12142586880 is 8868524121.

12142586880 is a `hidden beast` number, since 1 + 21 + 42 + 586 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×12142586880² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181232607 + ... + 181232673.

It is an arithmetic number, because the mean of its divisors is an integer number (55121616).

Almost surely, 2^12142586880 is an apocalyptic number.

12142586880 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 12142586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24253511040).

12142586880 is an abundant number, since it is smaller than the sum of its proper divisors (36364435200).

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

12142586880 is a wasteful number, since it uses less digits than its factorization.

12142586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12142586880 in words is "twelve billion, one hundred forty-two million, five hundred eighty-six thousand, eight hundred eighty".