12053000 has 64 divisors (see below), whose sum is σ = 29905200. Its totient is φ = 4531200.

The previous prime is 12052993. The next prime is 12053039. The reversal of 12053000 is 35021.

12053000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 178084 + 11874916 = 422^2 + 3446^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16646 + ... + 17354.

Almost surely, 2^12053000 is an apocalyptic number.

12053000 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 12053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952600).

12053000 is an abundant number, since it is smaller than the sum of its proper divisors (17852200).

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

12053000 is a wasteful number, since it uses less digits than its factorization.

12053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 12053000 is about 3471.7430780517. The cubic root of 12053000 is about 229.2794082544.

Adding to 12053000 its reverse (35021), we get a palindrome (12088021).

The spelling of 12053000 in words is "twelve million, fifty-three thousand".