212202000120 has 64 divisors (see below), whose sum is σ = 694479277440. Its totient is φ = 51442908800.

The previous prime is 212202000107. The next prime is 212202000139. The reversal of 212202000120 is 21000202212.

212202000120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 212202000096 and 212202000105.

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 15 ways as a sum of consecutive naturals, for example, 80378226 + ... + 80380865.

It is an arithmetic number, because the mean of its divisors is an integer number (10851238710).

Almost surely, 2^212202000120 is an apocalyptic number.

212202000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202000120 is an abundant number, since it is smaller than the sum of its proper divisors (482277277320).

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

212202000120 is a wasteful number, since it uses less digits than its factorization.

212202000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160759116 (or 160759112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212202000120 its reverse (21000202212), we get a palindrome (233202202332).

The spelling of 212202000120 in words is "two hundred twelve billion, two hundred two million, one hundred twenty", and thus it is an aban number.