210122120220120 has 192 divisors, whose sum is σ = 695948576188320. Its totient is φ = 54962164887552.

The previous prime is 210122120220119. The next prime is 210122120220149. The reversal of 210122120220120 is 21022021221012.

It is a happy number.

210122120220120 is a `hidden beast` number, since 2 + 101 + 221 + 2 + 0 + 220 + 120 = 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 = 210122120220093 and 210122120220102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 78378907 + ... + 81015413.

Almost surely, 2^{210122120220120} is an apocalyptic number.

210122120220120 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 210122120220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347974288094160).

210122120220120 is an abundant number, since it is smaller than the sum of its proper divisors (485826455968200).

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

210122120220120 is a wasteful number, since it uses less digits than its factorization.

210122120220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640754 (or 2640747 counting only the distinct ones).

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

Adding to 210122120220120 its reverse (21022021221012), we get a palindrome (231144141441132).

The spelling of 210122120220120 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty".