212210220210120 has 512 divisors, whose sum is σ = 796651374182400. Its totient is φ = 49780067097600.

The previous prime is 212210220210103. The next prime is 212210220210137. The reversal of 212210220210120 is 21012022012212.

It is a happy number.

212210220210120 is a `hidden beast` number, since 2 + 1 + 2 + 210 + 220 + 210 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (212210220210103) and next prime (212210220210137).

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 = 212210220210093 and 212210220210102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4236299794 + ... + 4236349886.

It is an arithmetic number, because the mean of its divisors is an integer number (1555959715200).

Almost surely, 2^{212210220210120} is an apocalyptic number.

212210220210120 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 212210220210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398325687091200).

212210220210120 is an abundant number, since it is smaller than the sum of its proper divisors (584441153972280).

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

212210220210120 is a wasteful number, since it uses less digits than its factorization.

212210220210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61658 (or 61648 counting only the distinct ones).

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

Adding to 212210220210120 its reverse (21012022012212), we get a palindrome (233222242222332).

The spelling of 212210220210120 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".