211200112001120 has 192 divisors, whose sum is σ = 576134314479360. Its totient is φ = 72355953715200.

The previous prime is 211200112001069. The next prime is 211200112001167. The reversal of 211200112001120 is 21100211002112.

It is a junction number, because it is equal to n+sod(n) for n = 211200112001095 and 211200112001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11394302 + ... + 23499581.

It is an arithmetic number, because the mean of its divisors is an integer number (3000699554580).

Almost surely, 2^{211200112001120} is an apocalyptic number.

211200112001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200112001120 is an abundant number, since it is smaller than the sum of its proper divisors (364934202478240).

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

211200112001120 is a wasteful number, since it uses less digits than its factorization.

211200112001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34894109 (or 34894101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211200112001120 its reverse (21100211002112), we get a palindrome (232300323003232).

The spelling of 211200112001120 in words is "two hundred eleven trillion, two hundred billion, one hundred twelve million, one thousand, one hundred twenty".