213140421200 has 120 divisors (see below), whose sum is σ = 591017767680. Its totient is φ = 72353088000.

The previous prime is 213140421199. The next prime is 213140421203. The reversal of 213140421200 is 2124041312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213140421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94040 + ... + 659639.

It is an arithmetic number, because the mean of its divisors is an integer number (4925148064).

Almost surely, 2^213140421200 is an apocalyptic number.

213140421200 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 213140421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295508883840).

213140421200 is an abundant number, since it is smaller than the sum of its proper divisors (377877346480).

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

213140421200 is a wasteful number, since it uses less digits than its factorization.

213140421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753805 (or 753794 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213140421200 its reverse (2124041312), we get a palindrome (215264462512).

The spelling of 213140421200 in words is "two hundred thirteen billion, one hundred forty million, four hundred twenty-one thousand, two hundred".