21412000 has 96 divisors (see below), whose sum is σ = 54132624. Its totient is φ = 8320000.

The previous prime is 21411983. The next prime is 21412021. The reversal of 21412000 is 21412.

It can be written as a sum of positive squares in 8 ways, for example, as 6574096 + 14837904 = 2564^2 + 3852^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 211950 + ... + 212050.

Almost surely, 2^21412000 is an apocalyptic number.

21412000 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 21412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066312).

21412000 is an abundant number, since it is smaller than the sum of its proper divisors (32720624).

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

21412000 is a wasteful number, since it uses less digits than its factorization.

21412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 21412000 is about 4627.3102338183. The cubic root of 21412000 is about 277.6849941970.

Adding to 21412000 its reverse (21412), we get a palindrome (21433412).

21412000 divided by its reverse (21412) gives a cube (1000 = 10³).

The spelling of 21412000 in words is "twenty-one million, four hundred twelve thousand".