21234000 has 80 divisors (see below), whose sum is σ = 68477760. Its totient is φ = 5660800.

The previous prime is 21233999. The next prime is 21234007. The reversal of 21234000 is 43212.

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

It is a super-3 number, since 3×21234000³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21234007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4231 + ... + 7769.

It is an arithmetic number, because the mean of its divisors is an integer number (855972).

Almost surely, 2^21234000 is an apocalyptic number.

21234000 is a gapful number since it is divisible by the number (20) 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 21234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34238880).

21234000 is an abundant number, since it is smaller than the sum of its proper divisors (47243760).

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

21234000 is a wasteful number, since it uses less digits than its factorization.

21234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21234000 is about 4608.0364581891. The cubic root of 21234000 is about 276.9133781029.

Adding to 21234000 its reverse (43212), we get a palindrome (21277212).

The spelling of 21234000 in words is "twenty-one million, two hundred thirty-four thousand".