211212120 has 64 divisors (see below), whose sum is σ = 724158720. Its totient is φ = 48276864.

The previous prime is 211212101. The next prime is 211212121. The reversal of 211212120 is 21212112.

It is a super-2 number, since 2×211212120² = 89221119269788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211212096 and 211212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124882 + ... + 126561.

It is an arithmetic number, because the mean of its divisors is an integer number (11314980).

Almost surely, 2^211212120 is an apocalyptic number.

211212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212120 is an abundant number, since it is smaller than the sum of its proper divisors (512946600).

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

211212120 is a wasteful number, since it uses less digits than its factorization.

211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251464 (or 251460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 211212120 is about 14533.1386837118. The cubic root of 211212120 is about 595.5336125819.

Adding to 211212120 its reverse (21212112), we get a palindrome (232424232).

The spelling of 211212120 in words is "two hundred eleven million, two hundred twelve thousand, one hundred twenty".