21012400 has 60 divisors (see below), whose sum is σ = 50994504. Its totient is φ = 8320000.

The previous prime is 21012373. The next prime is 21012401. The reversal of 21012400 is 421012.

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

It is not an unprimeable number, because it can be changed into a prime (21012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52200 + ... + 52600.

Almost surely, 2^21012400 is an apocalyptic number.

21012400 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 21012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497252).

21012400 is an abundant number, since it is smaller than the sum of its proper divisors (29982104).

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

21012400 is a wasteful number, since it uses less digits than its factorization.

21012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

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

The square root of 21012400 is about 4583.9284462129. The cubic root of 21012400 is about 275.9467095881.

Adding to 21012400 its reverse (421012), we get a palindrome (21433412).

It can be divided in two parts, 21012 and 400, that added together give a palindrome (21412).

The spelling of 21012400 in words is "twenty-one million, twelve thousand, four hundred".