10205211222 has 128 divisors (see below), whose sum is σ = 24046755840. Its totient is φ = 3243758400.

The previous prime is 10205211221. The next prime is 10205211223. The reversal of 10205211222 is 22211250201.

10205211222 is a `hidden beast` number, since 1 + 0 + 20 + 521 + 122 + 2 = 666.

10205211222 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10205211221) and next prime (10205211223).

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 = 10205211195 and 10205211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205211221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9897847 + ... + 9898877.

It is an arithmetic number, because the mean of its divisors is an integer number (187865280).

Almost surely, 2^10205211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023377920).

10205211222 is an abundant number, since it is smaller than the sum of its proper divisors (13841544618).

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

10205211222 is an equidigital number, since it uses as much as digits as its factorization.

10205211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10205211222 its reverse (22211250201), we get a palindrome (32416461423).

The spelling of 10205211222 in words is "ten billion, two hundred five million, two hundred eleven thousand, two hundred twenty-two".