120210102012 has 288 divisors, whose sum is σ = 393697704960. Its totient is φ = 28041914880.

The previous prime is 120210101989. The next prime is 120210102017. The reversal of 120210102012 is 210201012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210102017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3091789 + ... + 3130427.

It is an arithmetic number, because the mean of its divisors is an integer number (1367005920).

Almost surely, 2^120210102012 is an apocalyptic number.

120210102012 is a gapful number since it is divisible by the number (12) 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 120210102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196848852480).

120210102012 is an abundant number, since it is smaller than the sum of its proper divisors (273487602948).

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

120210102012 is a wasteful number, since it uses less digits than its factorization.

120210102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38721 (or 38712 counting only the distinct ones).

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

Adding to 120210102012 its reverse (210201012021), we get a palindrome (330411114033).

It can be divided in two parts, 120210 and 102012, that added together give a palindrome (222222).

The spelling of 120210102012 in words is "one hundred twenty billion, two hundred ten million, one hundred two thousand, twelve".