212001222120 has 128 divisors (see below), whose sum is σ = 681592976640. Its totient is φ = 52614144000.

The previous prime is 212001222119. The next prime is 212001222151. The reversal of 212001222120 is 21222100212.

212001222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212001222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935881 + ... + 1140120.

It is an arithmetic number, because the mean of its divisors is an integer number (5324945130).

Almost surely, 2^212001222120 is an apocalyptic number.

212001222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001222120 is an abundant number, since it is smaller than the sum of its proper divisors (469591754520).

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

212001222120 is a wasteful number, since it uses less digits than its factorization.

212001222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076075 (or 2076071 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212001222120 its reverse (21222100212), we get a palindrome (233223322332).

The spelling of 212001222120 in words is "two hundred twelve billion, one million, two hundred twenty-two thousand, one hundred twenty".