201220020121120 has 288 divisors, whose sum is σ = 649673313339456. Its totient is φ = 57893472000000.

The previous prime is 201220020121117. The next prime is 201220020121129. The reversal of 201220020121120 is 21121020022102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201220020121094 and 201220020121103.

It is not an unprimeable number, because it can be changed into a prime (201220020121129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88619506 + ... + 90861745.

It is an arithmetic number, because the mean of its divisors is an integer number (2255810115762).

Almost surely, 2^{201220020121120} is an apocalyptic number.

201220020121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220020121120 is an abundant number, since it is smaller than the sum of its proper divisors (448453293218336).

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

201220020121120 is a wasteful number, since it uses less digits than its factorization.

201220020121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179481304 (or 179481289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201220020121120 its reverse (21121020022102), we get a palindrome (222341040143222).

The spelling of 201220020121120 in words is "two hundred one trillion, two hundred twenty billion, twenty million, one hundred twenty-one thousand, one hundred twenty".