211200121112120 has 64 divisors (see below), whose sum is σ = 543308877708480. Its totient is φ = 72381756496896.

The previous prime is 211200121112111. The next prime is 211200121112137. The reversal of 211200121112120 is 21211121002112.

It is a super-2 number, since 2×211200121112120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154074749 + ... + 155439468.

It is an arithmetic number, because the mean of its divisors is an integer number (8489201214195).

Almost surely, 2^{211200121112120} is an apocalyptic number.

211200121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200121112120 is an abundant number, since it is smaller than the sum of its proper divisors (332108756596360).

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

211200121112120 is a wasteful number, since it uses less digits than its factorization.

211200121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309516672 (or 309516668 counting only the distinct ones).

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

Adding to 211200121112120 its reverse (21211121002112), we get a palindrome (232411242114232).

The spelling of 211200121112120 in words is "two hundred eleven trillion, two hundred billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".