212001000120 has 384 divisors, whose sum is σ = 870928007040. Its totient is φ = 43520716800.

The previous prime is 212001000067. The next prime is 212001000143. The reversal of 212001000120 is 21000100212.

212001000120 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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1124670 + ... + 1299570.

It is an arithmetic number, because the mean of its divisors is an integer number (2268041685).

Almost surely, 2^212001000120 is an apocalyptic number.

212001000120 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 212001000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435464003520).

212001000120 is an abundant number, since it is smaller than the sum of its proper divisors (658927006920).

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

212001000120 is a wasteful number, since it uses less digits than its factorization.

212001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174975 (or 174968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212001000120 its reverse (21000100212), we get a palindrome (233001100332).

The spelling of 212001000120 in words is "two hundred twelve billion, one million, one hundred twenty", and thus it is an aban number.