212202220010220 has 192 divisors, whose sum is σ = 720219070932480. Its totient is φ = 51441705504000.

The previous prime is 212202220010213. The next prime is 212202220010269. The reversal of 212202220010220 is 22010022202212.

212202220010220 is a `hidden beast` number, since 2 + 1 + 220 + 2 + 220 + 0 + 1 + 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 = 212202220010193 and 212202220010202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255308034 + ... + 256137846.

It is an arithmetic number, because the mean of its divisors is an integer number (3751140994440).

Almost surely, 2^{212202220010220} is an apocalyptic number.

212202220010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202220010220 is an abundant number, since it is smaller than the sum of its proper divisors (508016850922260).

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

212202220010220 is a wasteful number, since it uses less digits than its factorization.

212202220010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872893 (or 872885 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212202220010220 its reverse (22010022202212), we get a palindrome (234212242212432).

The spelling of 212202220010220 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty million, ten thousand, two hundred twenty".