201211004113120 has 48 divisors (see below), whose sum is σ = 475364112961248. Its totient is φ = 80483874112000.

The previous prime is 201211004113087. The next prime is 201211004113127. The reversal of 201211004113120 is 21311400112102.

It is a super-2 number, since 2×201211004113120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211004113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20836557 + ... + 28923763.

It is an arithmetic number, because the mean of its divisors is an integer number (9903419020026).

Almost surely, 2^{201211004113120} is an apocalyptic number.

201211004113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211004113120 is an abundant number, since it is smaller than the sum of its proper divisors (274153108848128).

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

201211004113120 is a wasteful number, since it uses less digits than its factorization.

201211004113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242723 (or 8242715 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 201211004113120 its reverse (21311400112102), we get a palindrome (222522404225222).

The spelling of 201211004113120 in words is "two hundred one trillion, two hundred eleven billion, four million, one hundred thirteen thousand, one hundred twenty".