212214031013200 has 240 divisors, whose sum is σ = 526286795489280. Its totient is φ = 82200471552000.

The previous prime is 212214031013141. The next prime is 212214031013213. The reversal of 212214031013200 is 2310130412212.

It is a super-2 number, since 2×212214031013200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451824081 + ... + 452293519.

It is an arithmetic number, because the mean of its divisors is an integer number (2192861647872).

Almost surely, 2^{212214031013200} is an apocalyptic number.

212214031013200 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 212214031013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263143397744640).

212214031013200 is an abundant number, since it is smaller than the sum of its proper divisors (314072764476080).

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

212214031013200 is a wasteful number, since it uses less digits than its factorization.

212214031013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469806 (or 469795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212214031013200 its reverse (2310130412212), we get a palindrome (214524161425412).

The spelling of 212214031013200 in words is "two hundred twelve trillion, two hundred fourteen billion, thirty-one million, thirteen thousand, two hundred".