12942000 has 120 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 3446400.

The previous prime is 12941993. The next prime is 12942023. The reversal of 12942000 is 24921.

12942000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 17641 + ... + 18359.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^12942000 is an apocalyptic number.

12942000 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 12942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

12942000 is an abundant number, since it is smaller than the sum of its proper divisors (32322960).

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

12942000 is a wasteful number, since it uses less digits than its factorization.

12942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12942000 is about 3597.4991313411. The cubic root of 12942000 is about 234.7832617624.

Adding to 12942000 its reverse (24921), we get a palindrome (12966921).

The spelling of 12942000 in words is "twelve million, nine hundred forty-two thousand".