200122211112120 has 768 divisors, whose sum is σ = 740381451264000. Its totient is φ = 46454704128000.

The previous prime is 200122211112097. The next prime is 200122211112127. The reversal of 200122211112120 is 21211112221002.

200122211112120 is a `hidden beast` number, since 200 + 1 + 22 + 211 + 112 + 120 = 666.

200122211112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 200122211112093 and 200122211112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122211112127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2570606956 + ... + 2570684804.

It is an arithmetic number, because the mean of its divisors is an integer number (964038348000).

Almost surely, 2^{200122211112120} is an apocalyptic number.

200122211112120 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 200122211112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370190725632000).

200122211112120 is an abundant number, since it is smaller than the sum of its proper divisors (540259240151880).

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

200122211112120 is a wasteful number, since it uses less digits than its factorization.

200122211112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78212 (or 78205 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200122211112120 its reverse (21211112221002), we get a palindrome (221333323333122).

The spelling of 200122211112120 in words is "two hundred trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".