210220120122120 has 192 divisors, whose sum is σ = 699251513875200. Its totient is φ = 54743463936000.

The previous prime is 210220120122017. The next prime is 210220120122137. The reversal of 210220120122120 is 21221021022012.

It is a happy number.

210220120122120 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 1 + 201 + 221 + 20 = 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 = 210220120122093 and 210220120122102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72116296 + ... + 74974664.

It is an arithmetic number, because the mean of its divisors is an integer number (3641934968100).

Almost surely, 2^{210220120122120} is an apocalyptic number.

210220120122120 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 210220120122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349625756937600).

210220120122120 is an abundant number, since it is smaller than the sum of its proper divisors (489031393753080).

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

210220120122120 is a wasteful number, since it uses less digits than its factorization.

210220120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863180 (or 2863173 counting only the distinct ones).

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

Adding to 210220120122120 its reverse (21221021022012), we get a palindrome (231441141144132).

The spelling of 210220120122120 in words is "two hundred ten trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".