200210222121120 has 144 divisors (see below), whose sum is σ = 686757370381992. Its totient is φ = 53112763514880.

The previous prime is 200210222121097. The next prime is 200210222121139. The reversal of 200210222121120 is 21121222012002.

It is a happy number.

200210222121120 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 2 + 221 + 211 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177263554609296 + 22946667511824 = 13314036^2 + 4790268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 200210222121093 and 200210222121102.

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 23 ways as a sum of consecutive naturals, for example, 359916061 + ... + 360471900.

Almost surely, 2^{200210222121120} is an apocalyptic number.

200210222121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210222121120 is an abundant number, since it is smaller than the sum of its proper divisors (486547148260872).

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

200210222121120 is a wasteful number, since it uses less digits than its factorization.

200210222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720388175 (or 720388164 counting only the distinct ones).

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

Adding to 200210222121120 its reverse (21121222012002), we get a palindrome (221331444133122).

The spelling of 200210222121120 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".