213424141200 has 120 divisors (see below), whose sum is σ = 685249245408. Its totient is φ = 56781527040.

The previous prime is 213424141169. The next prime is 213424141207. The reversal of 213424141200 is 2141424312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213424141207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314227 + ... + 724973.

Almost surely, 2^213424141200 is an apocalyptic number.

213424141200 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 213424141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342624622704).

213424141200 is an abundant number, since it is smaller than the sum of its proper divisors (471825104208).

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

213424141200 is a wasteful number, since it uses less digits than its factorization.

213424141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411201 (or 411190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213424141200 its reverse (2141424312), we get a palindrome (215565565512).

The spelling of 213424141200 in words is "two hundred thirteen billion, four hundred twenty-four million, one hundred forty-one thousand, two hundred".