201211211120120 has 64 divisors (see below), whose sum is σ = 454456360512000. Its totient is φ = 80176740162688.

The previous prime is 201211211120107. The next prime is 201211211120123. The reversal of 201211211120120 is 21021112112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211211120123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 564103991 + ... + 564460569.

It is an arithmetic number, because the mean of its divisors is an integer number (7100880633000).

Almost surely, 2^{201211211120120} is an apocalyptic number.

201211211120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211211120120 is an abundant number, since it is smaller than the sum of its proper divisors (253245149391880).

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

201211211120120 is a wasteful number, since it uses less digits than its factorization.

201211211120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410492 (or 410488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201211211120120 its reverse (21021112112102), we get a palindrome (222232323232222).

The spelling of 201211211120120 in words is "two hundred one trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".