201112211211120 has 240 divisors, whose sum is σ = 741495021183072. Its totient is φ = 48443937085440.

The previous prime is 201112211211031. The next prime is 201112211211203. The reversal of 201112211211120 is 21112112211102.

It is a happy number.

201112211211120 is a `hidden beast` number, since 2 + 0 + 111 + 221 + 1 + 211 + 120 = 666.

201112211211120 is digitally balanced in base 2 and base 4, because in such bases 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 (240).

It is a super-2 number, since 2×201112211211120² (a number of 29 digits) contains 22 as substring.

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 = 201112211211093 and 201112211211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79625847 + ... + 82112726.

Almost surely, 2^{201112211211120} is an apocalyptic number.

201112211211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112211211120 is an abundant number, since it is smaller than the sum of its proper divisors (540382809971952).

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

201112211211120 is a wasteful number, since it uses less digits than its factorization.

201112211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161738760 (or 161738751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201112211211120 its reverse (21112112211102), we get a palindrome (222224323422222).

The spelling of 201112211211120 in words is "two hundred one trillion, one hundred twelve billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".