201211121022120 has 128 divisors (see below), whose sum is σ = 731676803760000. Its totient is φ = 48778453578240.

The previous prime is 201211121022101. The next prime is 201211121022127. The reversal of 201211121022120 is 21220121112102.

201211121022120 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 1 + 210 + 221 + 20 = 666.

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 = 201211121022093 and 201211121022102.

It is not an unprimeable number, because it can be changed into a prime (201211121022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8468469645 + ... + 8468493404.

It is an arithmetic number, because the mean of its divisors is an integer number (5716225029375).

Almost surely, 2^{201211121022120} is an apocalyptic number.

201211121022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211121022120 is an abundant number, since it is smaller than the sum of its proper divisors (530465682737880).

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

201211121022120 is a wasteful number, since it uses less digits than its factorization.

201211121022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16936963080 (or 16936963070 counting only the distinct ones).

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

Adding to 201211121022120 its reverse (21220121112102), we get a palindrome (222431242134222).

The spelling of 201211121022120 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".