202012122120120 has 192 divisors, whose sum is σ = 707199866362080. Its totient is φ = 49714988203008.

The previous prime is 202012122120113. The next prime is 202012122120287. The reversal of 202012122120120 is 21021221210202.

It is a happy number.

202012122120120 is a `hidden beast` number, since 2 + 0 + 201 + 21 + 221 + 201 + 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 = 202012122120093 and 202012122120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16223659 + ... + 25830821.

Almost surely, 2^{202012122120120} is an apocalyptic number.

202012122120120 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 202012122120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353599933181040).

202012122120120 is an abundant number, since it is smaller than the sum of its proper divisors (505187744241960).

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

202012122120120 is a wasteful number, since it uses less digits than its factorization.

202012122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611686 (or 9611679 counting only the distinct ones).

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

Adding to 202012122120120 its reverse (21021221210202), we get a palindrome (223033343330322).

The spelling of 202012122120120 in words is "two hundred two trillion, twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".