12142080 has 240 divisors, whose sum is σ = 45961344. Its totient is φ = 2949120.

The previous prime is 12142079. The next prime is 12142093. The reversal of 12142080 is 8024121.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391665 + ... + 391695.

Almost surely, 2^12142080 is an apocalyptic number.

12142080 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 12142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

12142080 is an abundant number, since it is smaller than the sum of its proper divisors (33819264).

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

12142080 is a wasteful number, since it uses less digits than its factorization.

12142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12142080 is about 3484.5487512733. The cubic root of 12142080 is about 229.8428668381.

The spelling of 12142080 in words is "twelve million, one hundred forty-two thousand, eighty".