201211022011120 has 80 divisors (see below), whose sum is σ = 512147656916352. Its totient is φ = 72909101364480.

The previous prime is 201211022011117. The next prime is 201211022011171. The reversal of 201211022011120 is 21110220112102.

201211022011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 201211022011094 and 201211022011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403724262 + ... + 404222341.

Almost surely, 2^{201211022011120} is an apocalyptic number.

201211022011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211022011120 is an abundant number, since it is smaller than the sum of its proper divisors (310936634905232).

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

201211022011120 is a wasteful number, since it uses less digits than its factorization.

201211022011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807946910 (or 807946904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201211022011120 its reverse (21110220112102), we get a palindrome (222321242123222).

The spelling of 201211022011120 in words is "two hundred one trillion, two hundred eleven billion, twenty-two million, eleven thousand, one hundred twenty".