120210122120220 has 288 divisors, whose sum is σ = 402619464898560. Its totient is φ = 28787835041280.

The previous prime is 120210122120219. The next prime is 120210122120243. The reversal of 120210122120220 is 22021221012021.

It is a happy number.

120210122120220 is a `hidden beast` number, since 1 + 20 + 210 + 1 + 2 + 212 + 0 + 220 = 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 = 120210122120193 and 120210122120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1937373237 + ... + 1937435283.

It is an arithmetic number, because the mean of its divisors is an integer number (1397984253120).

Almost surely, 2^{120210122120220} is an apocalyptic number.

120210122120220 is a gapful number since it is divisible by the number (10) 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 120210122120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201309732449280).

120210122120220 is an abundant number, since it is smaller than the sum of its proper divisors (282409342778340).

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

120210122120220 is a wasteful number, since it uses less digits than its factorization.

120210122120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73945 (or 73940 counting only the distinct ones).

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

Adding to 120210122120220 its reverse (22021221012021), we get a palindrome (142231343132241).

The spelling of 120210122120220 in words is "one hundred twenty trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty".