212012010120 has 128 divisors (see below), whose sum is σ = 646201008000. Its totient is φ = 55634743296.

The previous prime is 212012010107. The next prime is 212012010163. The reversal of 212012010120 is 21010210212.

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 = 212012010096 and 212012010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8002656 + ... + 8029104.

It is an arithmetic number, because the mean of its divisors is an integer number (5048445375).

Almost surely, 2^212012010120 is an apocalyptic number.

212012010120 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 212012010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323100504000).

212012010120 is an abundant number, since it is smaller than the sum of its proper divisors (434188997880).

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

212012010120 is a wasteful number, since it uses less digits than its factorization.

212012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527 (or 27523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212012010120 its reverse (21010210212), we get a palindrome (233022220332).

The spelling of 212012010120 in words is "two hundred twelve billion, twelve million, ten thousand, one hundred twenty".