211123212120 has 192 divisors, whose sum is σ = 711964300320. Its totient is φ = 54212861952.

The previous prime is 211123212103. The next prime is 211123212137. The reversal of 211123212120 is 21212321112.

211123212120 is a `hidden beast` number, since 21 + 112 + 321 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211123212103) and next prime (211123212137).

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 = 211123212093 and 211123212102.

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, 1210339 + ... + 1373741.

Almost surely, 2^211123212120 is an apocalyptic number.

211123212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211123212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355982150160).

211123212120 is an abundant number, since it is smaller than the sum of its proper divisors (500841088200).

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

211123212120 is a wasteful number, since it uses less digits than its factorization.

211123212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163554 (or 163547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211123212120 its reverse (21212321112), we get a palindrome (232335533232).

The spelling of 211123212120 in words is "two hundred eleven billion, one hundred twenty-three million, two hundred twelve thousand, one hundred twenty".