212012212100220 has 384 divisors, whose sum is σ = 787966437888000. Its totient is φ = 47277982886400.

The previous prime is 212012212100209. The next prime is 212012212100233. The reversal of 212012212100220 is 22001212210212.

It is a happy number.

212012212100220 is a `hidden beast` number, since 2 + 1 + 201 + 221 + 21 + 0 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012212100193 and 212012212100202.

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 127 ways as a sum of consecutive naturals, for example, 6365136 + ... + 21553175.

It is an arithmetic number, because the mean of its divisors is an integer number (2051995932000).

Almost surely, 2^{212012212100220} is an apocalyptic number.

212012212100220 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 212012212100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393983218944000).

212012212100220 is an abundant number, since it is smaller than the sum of its proper divisors (575954225787780).

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

212012212100220 is a wasteful number, since it uses less digits than its factorization.

212012212100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27918391 (or 27918369 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012212100220 its reverse (22001212210212), we get a palindrome (234013424310432).

The spelling of 212012212100220 in words is "two hundred twelve trillion, twelve billion, two hundred twelve million, one hundred thousand, two hundred twenty".