210012120120 has 512 divisors, whose sum is σ = 750079180800. Its totient is φ = 46473523200.

The previous prime is 210012120037. The next prime is 210012120121. The reversal of 210012120120 is 21021210012.

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 = 210012120096 and 210012120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012120121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 243350809 + ... + 243351671.

It is an arithmetic number, because the mean of its divisors is an integer number (1464998400).

Almost surely, 2^210012120120 is an apocalyptic number.

210012120120 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 210012120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375039590400).

210012120120 is an abundant number, since it is smaller than the sum of its proper divisors (540067060680).

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

210012120120 is a wasteful number, since it uses less digits than its factorization.

210012120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

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

Adding to 210012120120 its reverse (21021210012), we get a palindrome (231033330132).

The spelling of 210012120120 in words is "two hundred ten billion, twelve million, one hundred twenty thousand, one hundred twenty".