211213211313200 has 120 divisors (see below), whose sum is σ = 524037272789376. Its totient is φ = 81724285440000.

The previous prime is 211213211313173. The next prime is 211213211313233. The reversal of 211213211313200 is 2313112312112.

It is a happy number.

It is a super-2 number, since 2×211213211313200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24719000 + ... + 32147400.

Almost surely, 2^{211213211313200} is an apocalyptic number.

211213211313200 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 211213211313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262018636394688).

211213211313200 is an abundant number, since it is smaller than the sum of its proper divisors (312824061476176).

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

211213211313200 is a wasteful number, since it uses less digits than its factorization.

211213211313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430743 (or 7430732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 211213211313200 its reverse (2313112312112), we get a palindrome (213526323625312).

The spelling of 211213211313200 in words is "two hundred eleven trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirteen thousand, two hundred".