212211102012120 has 48 divisors (see below), whose sum is σ = 689686081540560. Its totient is φ = 56589627203136.

The previous prime is 212211102012097. The next prime is 212211102012131. The reversal of 212211102012120 is 21210201112212.

212211102012120 is a `hidden beast` number, since 21 + 221 + 1 + 10 + 201 + 212 + 0 = 666.

It is a super-2 number, since 2×212211102012120² (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 = 212211102012093 and 212211102012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294737641324 + ... + 294737642043.

It is an arithmetic number, because the mean of its divisors is an integer number (14368460032095).

Almost surely, 2^{212211102012120} is an apocalyptic number.

212211102012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211102012120 is an abundant number, since it is smaller than the sum of its proper divisors (477474979528440).

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

212211102012120 is a wasteful number, since it uses less digits than its factorization.

212211102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589475283384 (or 589475283377 counting only the distinct ones).

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

Adding to 212211102012120 its reverse (21210201112212), we get a palindrome (233421303124332).

The spelling of 212211102012120 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred two million, twelve thousand, one hundred twenty".