200120212212120 has 512 divisors, whose sum is σ = 695330218598400. Its totient is φ = 51140471040000.

The previous prime is 200120212212103. The next prime is 200120212212233. The reversal of 200120212212120 is 21212212021002.

It is a happy number.

200120212212120 is a `hidden beast` number, since 2 + 0 + 0 + 120 + 212 + 212 + 120 = 666.

It is a super-3 number, since 3×200120212212120³ (a number of 44 digits) contains 333 as substring.

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 = 200120212212093 and 200120212212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1453733214 + ... + 1453870866.

It is an arithmetic number, because the mean of its divisors is an integer number (1358066833200).

Almost surely, 2^{200120212212120} is an apocalyptic number.

200120212212120 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 200120212212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347665109299200).

200120212212120 is an abundant number, since it is smaller than the sum of its proper divisors (495210006386280).

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

200120212212120 is a wasteful number, since it uses less digits than its factorization.

200120212212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138128 (or 138118 counting only the distinct ones).

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

Adding to 200120212212120 its reverse (21212212021002), we get a palindrome (221332424233122).

The spelling of 200120212212120 in words is "two hundred trillion, one hundred twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".