201121220211120 has 240 divisors, whose sum is σ = 742924564989984. Its totient is φ = 48756659212800.

The previous prime is 201121220211113. The next prime is 201121220211173. The reversal of 201121220211120 is 21112022121102.

201121220211120 is a `hidden beast` number, since 2 + 0 + 112 + 1 + 220 + 211 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 201121220211093 and 201121220211102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103975951 + ... + 105892590.

Almost surely, 2^{201121220211120} is an apocalyptic number.

201121220211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121220211120 is an abundant number, since it is smaller than the sum of its proper divisors (541803344778864).

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

201121220211120 is a wasteful number, since it uses less digits than its factorization.

201121220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209868593 (or 209868562 counting only the distinct ones).

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

Adding to 201121220211120 its reverse (21112022121102), we get a palindrome (222233242332222).

The spelling of 201121220211120 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".