120202202122020 has 144 divisors (see below), whose sum is σ = 374830287751920. Its totient is φ = 31157405319168.

The previous prime is 120202202122019. The next prime is 120202202122031. The reversal of 120202202122020 is 20221202202021.

120202202122020 is a `hidden beast` number, since 1 + 20 + 202 + 202 + 1 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13516564014144 + 106685638107876 = 3676488^2 + 10328874^2 .

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 = 120202202121984 and 120202202122002.

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, 1856125 + ... + 15615684.

Almost surely, 2^{120202202122020} is an apocalyptic number.

120202202122020 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 120202202122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187415143875960).

120202202122020 is an abundant number, since it is smaller than the sum of its proper divisors (254628085629900).

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

120202202122020 is a wasteful number, since it uses less digits than its factorization.

120202202122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17472894 (or 17472889 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120202202122020 its reverse (20221202202021), we get a palindrome (140423404324041).

The spelling of 120202202122020 in words is "one hundred twenty trillion, two hundred two billion, two hundred two million, one hundred twenty-two thousand, twenty".