12142000 has 80 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 4473600.

The previous prime is 12141979. The next prime is 12142001. The reversal of 12142000 is 24121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12142001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25767 + ... + 26233.

Almost surely, 2^12142000 is an apocalyptic number.

12142000 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 12142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

12142000 is an abundant number, since it is smaller than the sum of its proper divisors (19543472).

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

12142000 is a wasteful number, since it uses less digits than its factorization.

12142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12142000 is about 3484.5372720061. The cubic root of 12142000 is about 229.8423620517.

Adding to 12142000 its reverse (24121), we get a palindrome (12166121).

The spelling of 12142000 in words is "twelve million, one hundred forty-two thousand".