201120220122120 has 384 divisors, whose sum is σ = 731175324647040. Its totient is φ = 49426259097600.

The previous prime is 201120220122097. The next prime is 201120220122161. The reversal of 201120220122120 is 21221022021102.

It is a happy number.

201120220122120 is a `hidden beast` number, since 20 + 1 + 1 + 202 + 201 + 221 + 20 = 666.

It is a super-3 number, since 3×201120220122120³ (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 = 201120220122093 and 201120220122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76674295 + ... + 79253945.

It is an arithmetic number, because the mean of its divisors is an integer number (1904102407935).

Almost surely, 2^{201120220122120} is an apocalyptic number.

201120220122120 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 201120220122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365587662323520).

201120220122120 is an abundant number, since it is smaller than the sum of its proper divisors (530055104524920).

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

201120220122120 is a wasteful number, since it uses less digits than its factorization.

201120220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580307 (or 2580291 counting only the distinct ones).

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

Adding to 201120220122120 its reverse (21221022021102), we get a palindrome (222341242143222).

The spelling of 201120220122120 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".