212212202160 has 480 divisors, whose sum is σ = 775465367040. Its totient is φ = 47020400640.

The previous prime is 212212202159. The next prime is 212212202161. The reversal of 212212202160 is 61202212212.

212212202160 is digitally balanced in base 3, 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 (212212202159) and next prime (212212202161).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212212202161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518856036 + ... + 518856444.

It is an arithmetic number, because the mean of its divisors is an integer number (1615552848).

Almost surely, 2^212212202160 is an apocalyptic number.

212212202160 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 212212202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387732683520).

212212202160 is an abundant number, since it is smaller than the sum of its proper divisors (563253164880).

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

212212202160 is a wasteful number, since it uses less digits than its factorization.

212212202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212212202160 its reverse (61202212212), we get a palindrome (273414414372).

The spelling of 212212202160 in words is "two hundred twelve billion, two hundred twelve million, two hundred two thousand, one hundred sixty".