200121222120120 has 384 divisors, whose sum is σ = 789132468960000. Its totient is φ = 44966704898304.

The previous prime is 200121222120119. The next prime is 200121222120137. The reversal of 200121222120120 is 21021222121002.

It is a happy number.

200121222120120 is a `hidden beast` number, since 200 + 1 + 2 + 1 + 222 + 120 + 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 = 200121222120093 and 200121222120102.

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, 28925010 + ... + 35169569.

It is an arithmetic number, because the mean of its divisors is an integer number (2055032471250).

Almost surely, 2^{200121222120120} is an apocalyptic number.

200121222120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200121222120120 is an abundant number, since it is smaller than the sum of its proper divisors (589011246839880).

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

200121222120120 is a wasteful number, since it uses less digits than its factorization.

200121222120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64094672 (or 64094655 counting only the distinct ones).

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

Adding to 200121222120120 its reverse (21021222121002), we get a palindrome (221142444241122).

It can be divided in two parts, 200121 and 222120120, that added together give a triangular number (222320241 = T₂₁₀₈₆).

The spelling of 200121222120120 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty".