212114201200 has 480 divisors, whose sum is σ = 598294920960. Its totient is φ = 71530905600.

The previous prime is 212114201191. The next prime is 212114201219. The reversal of 212114201200 is 2102411212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367615312 + ... + 367615888.

It is an arithmetic number, because the mean of its divisors is an integer number (1246447752).

Almost surely, 2^212114201200 is an apocalyptic number.

212114201200 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 212114201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299147460480).

212114201200 is an abundant number, since it is smaller than the sum of its proper divisors (386180719760).

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

212114201200 is a wasteful number, since it uses less digits than its factorization.

212114201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212114201200 its reverse (2102411212), we get a palindrome (214216612412).

It can be divided in two parts, 212114 and 201200, that added together give a palindrome (413314).

The spelling of 212114201200 in words is "two hundred twelve billion, one hundred fourteen million, two hundred one thousand, two hundred".