213211213224 has 192 divisors, whose sum is σ = 580275783360. Its totient is φ = 65055098880.

The previous prime is 213211213217. The next prime is 213211213231. The reversal of 213211213224 is 422312112312.

It is an interprime number because it is at equal distance from previous prime (213211213217) and next prime (213211213231).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213211213194 and 213211213203.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 163129579 + ... + 163130885.

It is an arithmetic number, because the mean of its divisors is an integer number (3022269705).

Almost surely, 2^213211213224 is an apocalyptic number.

213211213224 is a gapful number since it is divisible by the number (24) 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 213211213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290137891680).

213211213224 is an abundant number, since it is smaller than the sum of its proper divisors (367064570136).

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

213211213224 is a wasteful number, since it uses less digits than its factorization.

213211213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1557 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 213211213224 its reverse (422312112312), we get a palindrome (635523325536).

The spelling of 213211213224 in words is "two hundred thirteen billion, two hundred eleven million, two hundred thirteen thousand, two hundred twenty-four".