211212121120 has 576 divisors, whose sum is σ = 682304249088. Its totient is φ = 60115968000.

The previous prime is 211212121103. The next prime is 211212121147. The reversal of 211212121120 is 21121212112.

It is a super-2 number, since 2×211212121120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211212121094 and 211212121103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177937167 + ... + 177938353.

It is an arithmetic number, because the mean of its divisors is an integer number (1184555988).

Almost surely, 2^211212121120 is an apocalyptic number.

211212121120 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 211212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341152124544).

211212121120 is an abundant number, since it is smaller than the sum of its proper divisors (471092127968).

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

211212121120 is a wasteful number, since it uses less digits than its factorization.

211212121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211212121120 its reverse (21121212112), we get a palindrome (232333333232).

The spelling of 211212121120 in words is "two hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".