202212200002120 has 192 divisors, whose sum is σ = 583090561431360. Its totient is φ = 62403147072000.

The previous prime is 202212200002091. The next prime is 202212200002151. The reversal of 202212200002120 is 21200002212202.

202212200002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×202212200002120³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202212200002094 and 202212200002103.

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, 44253354 + ... + 48608473.

It is an arithmetic number, because the mean of its divisors is an integer number (3036930007455).

Almost surely, 2^{202212200002120} is an apocalyptic number.

202212200002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212200002120 is an abundant number, since it is smaller than the sum of its proper divisors (380878361429240).

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

202212200002120 is a wasteful number, since it uses less digits than its factorization.

202212200002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92861964 (or 92861953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202212200002120 its reverse (21200002212202), we get a palindrome (223412202214322).

The spelling of 202212200002120 in words is "two hundred two trillion, two hundred twelve billion, two hundred million, two thousand, one hundred twenty".