21132000 has 144 divisors (see below), whose sum is σ = 75125232. Its totient is φ = 5625600.

The previous prime is 21131989. The next prime is 21132011. The reversal of 21132000 is 23112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21131989) and next prime (21132011).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21132000² = 893122848000000, which contains 22 as substring.

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, 35707 + ... + 36293.

It is an arithmetic number, because the mean of its divisors is an integer number (521703).

Almost surely, 2^21132000 is an apocalyptic number.

21132000 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 21132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562616).

21132000 is an abundant number, since it is smaller than the sum of its proper divisors (53993232).

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

21132000 is a wasteful number, since it uses less digits than its factorization.

21132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21132000 is about 4596.9555142507. The cubic root of 21132000 is about 276.4692709796.

Adding to 21132000 its reverse (23112), we get a palindrome (21155112).

The spelling of 21132000 in words is "twenty-one million, one hundred thirty-two thousand".