212001010222120 has 128 divisors (see below), whose sum is σ = 556844066242560. Its totient is φ = 71126800093440.

The previous prime is 212001010222109. The next prime is 212001010222129. The reversal of 212001010222120 is 21222010100212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212001010222094 and 212001010222103.

It is not an unprimeable number, because it can be changed into a prime (212001010222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72136897 + ... + 75018223.

It is an arithmetic number, because the mean of its divisors is an integer number (4350344267520).

Almost surely, 2^{212001010222120} is an apocalyptic number.

212001010222120 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 212001010222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278422033121280).

212001010222120 is an abundant number, since it is smaller than the sum of its proper divisors (344843056020440).

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

212001010222120 is a wasteful number, since it uses less digits than its factorization.

212001010222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886983 (or 2886979 counting only the distinct ones).

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

Adding to 212001010222120 its reverse (21222010100212), we get a palindrome (233223020322332).

The spelling of 212001010222120 in words is "two hundred twelve trillion, one billion, ten million, two hundred twenty-two thousand, one hundred twenty".