201211112120020 has 24 divisors (see below), whose sum is σ = 422946141345000. Its totient is φ = 80407719916032.

The previous prime is 201211112119949. The next prime is 201211112120069. The reversal of 201211112120020 is 20021211112102.

201211112120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17974496453956 + 183236615666064 = 4239634^2 + 13536492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201211112119976 and 201211112120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4795286745 + ... + 4795328704.

It is an arithmetic number, because the mean of its divisors is an integer number (17622755889375).

Almost surely, 2^{201211112120020} is an apocalyptic number.

201211112120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211112120020 is an abundant number, since it is smaller than the sum of its proper divisors (221735029224980).

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

201211112120020 is a wasteful number, since it uses less digits than its factorization.

201211112120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590616507 (or 9590616505 counting only the distinct ones).

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

Adding to 201211112120020 its reverse (20021211112102), we get a palindrome (221232323232122).

The spelling of 201211112120020 in words is "two hundred one trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty thousand, twenty".