212120211110220 has 288 divisors, whose sum is σ = 774505776844800. Its totient is φ = 45905911736832.

The previous prime is 212120211110191. The next prime is 212120211110221. The reversal of 212120211110220 is 22011112021212.

212120211110220 is a `hidden beast` number, since 2 + 1 + 2 + 120 + 211 + 110 + 220 = 666.

It is a super-2 number, since 2×212120211110220² (a number of 29 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 = 212120211110193 and 212120211110202.

It is not an unprimeable number, because it can be changed into a prime (212120211110221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38321157 + ... + 43505763.

It is an arithmetic number, because the mean of its divisors is an integer number (2689256169600).

Almost surely, 2^{212120211110220} is an apocalyptic number.

212120211110220 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 212120211110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387252888422400).

212120211110220 is an abundant number, since it is smaller than the sum of its proper divisors (562385565734580).

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

212120211110220 is a wasteful number, since it uses less digits than its factorization.

212120211110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186357 (or 5186352 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212120211110220 its reverse (22011112021212), we get a palindrome (234131323131432).

The spelling of 212120211110220 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred eleven million, one hundred ten thousand, two hundred twenty".