212200110021200 has 240 divisors, whose sum is σ = 585021867204096. Its totient is φ = 72457614028800.

The previous prime is 212200110021191. The next prime is 212200110021217. The reversal of 212200110021200 is 2120011002212.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 675267314 + ... + 675581486.

Almost surely, 2^{212200110021200} is an apocalyptic number.

212200110021200 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 212200110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292510933602048).

212200110021200 is an abundant number, since it is smaller than the sum of its proper divisors (372821757182896).

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

212200110021200 is a wasteful number, since it uses less digits than its factorization.

212200110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315182 (or 315171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212200110021200 its reverse (2120011002212), we get a palindrome (214320121023412).

The spelling of 212200110021200 in words is "two hundred twelve trillion, two hundred billion, one hundred ten million, twenty-one thousand, two hundred".