21024214200 has 336 divisors, whose sum is σ = 79957103400. Its totient is φ = 5096390400.

The previous prime is 21024214199. The next prime is 21024214213. The reversal of 21024214200 is 241242012.

21024214200 is a `hidden beast` number, since 2 + 1 + 0 + 242 + 1 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1597246 + ... + 1610354.

Almost surely, 2^21024214200 is an apocalyptic number.

21024214200 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 21024214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39978551700).

21024214200 is an abundant number, since it is smaller than the sum of its proper divisors (58932889200).

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

21024214200 is a wasteful number, since it uses less digits than its factorization.

21024214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21024214200 its reverse (241242012), we get a palindrome (21265456212).

The spelling of 21024214200 in words is "twenty-one billion, twenty-four million, two hundred fourteen thousand, two hundred".