213252224000 has 352 divisors, whose sum is σ = 553931169792. Its totient is φ = 81838080000.

The previous prime is 213252223991. The next prime is 213252224011. The reversal of 213252224000 is 422252312.

It is a super-2 number, since 2×213252224000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884863880 + ... + 884864120.

It is an arithmetic number, because the mean of its divisors is an integer number (1573668096).

Almost surely, 2^213252224000 is an apocalyptic number.

213252224000 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 213252224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276965584896).

213252224000 is an abundant number, since it is smaller than the sum of its proper divisors (340678945792).

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

213252224000 is a wasteful number, since it uses less digits than its factorization.

213252224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 213252224000 its reverse (422252312), we get a palindrome (213674476312).

The spelling of 213252224000 in words is "two hundred thirteen billion, two hundred fifty-two million, two hundred twenty-four thousand".