211214201220 has 288 divisors, whose sum is σ = 730748438784. Its totient is φ = 48880972800.

The previous prime is 211214201213. The next prime is 211214201221. The reversal of 211214201220 is 22102412112.

211214201220 is a `hidden beast` number, since 2 + 1 + 1 + 21 + 420 + 1 + 220 = 666.

It is a super-2 number, since 2×211214201220² (a number of 23 digits) contains 22 as substring.

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 = 211214201193 and 211214201202.

It is not an unprimeable number, because it can be changed into a prime (211214201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24632854 + ... + 24641426.

It is an arithmetic number, because the mean of its divisors is an integer number (2537320968).

Almost surely, 2^211214201220 is an apocalyptic number.

211214201220 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 211214201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365374219392).

211214201220 is an abundant number, since it is smaller than the sum of its proper divisors (519534237564).

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

211214201220 is a wasteful number, since it uses less digits than its factorization.

211214201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211214201220 its reverse (22102412112), we get a palindrome (233316613332).

The spelling of 211214201220 in words is "two hundred eleven billion, two hundred fourteen million, two hundred one thousand, two hundred twenty".