213024204000 has 288 divisors, whose sum is σ = 758209836384. Its totient is φ = 56642150400.

The previous prime is 213024203983. The next prime is 213024204007. The reversal of 213024204000 is 402420312.

213024204000 is a `hidden beast` number, since 21 + 3 + 0 + 242 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×213024204000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213024204007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12699619 + ... + 12716381.

It is an arithmetic number, because the mean of its divisors is an integer number (2632673043).

Almost surely, 2^213024204000 is an apocalyptic number.

213024204000 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 213024204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379104918192).

213024204000 is an abundant number, since it is smaller than the sum of its proper divisors (545185632384).

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

213024204000 is a wasteful number, since it uses less digits than its factorization.

213024204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17147 (or 17126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213024204000 its reverse (402420312), we get a palindrome (213426624312).

The spelling of 213024204000 in words is "two hundred thirteen billion, twenty-four million, two hundred four thousand".