11142000 has 120 divisors (see below), whose sum is σ = 38978160. Its totient is φ = 2966400.

The previous prime is 11141983. The next prime is 11142011. The reversal of 11142000 is 24111.

It is a happy number.

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 (9).

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, 17691 + ... + 18309.

It is an arithmetic number, because the mean of its divisors is an integer number (324818).

Almost surely, 2^11142000 is an apocalyptic number.

11142000 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 11142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489080).

11142000 is an abundant number, since it is smaller than the sum of its proper divisors (27836160).

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

11142000 is a wasteful number, since it uses less digits than its factorization.

11142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11142000 is about 3337.9634509683. The cubic root of 11142000 is about 223.3509057731.

Adding to 11142000 its reverse (24111), we get a palindrome (11166111).

The spelling of 11142000 in words is "eleven million, one hundred forty-two thousand".