211220212120 has 64 divisors (see below), whose sum is σ = 508388892480. Its totient is φ = 78698397696.

The previous prime is 211220212117. The next prime is 211220212127. The reversal of 211220212120 is 21212022112.

It is a happy number.

It is a super-2 number, since 2×211220212120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220212094 and 211220212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220212127) 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, 1535164 + ... + 1667083.

It is an arithmetic number, because the mean of its divisors is an integer number (7943576445).

Almost surely, 2^211220212120 is an apocalyptic number.

211220212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220212120 is an abundant number, since it is smaller than the sum of its proper divisors (297168680360).

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

211220212120 is a wasteful number, since it uses less digits than its factorization.

211220212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202372 (or 3202368 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220212120 its reverse (21212022112), we get a palindrome (232432234232).

The spelling of 211220212120 in words is "two hundred eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".