12120000000210 has 192 divisors, whose sum is σ = 33586868090880. Its totient is φ = 3027125606400.

The previous prime is 12120000000209. The next prime is 12120000000217. The reversal of 12120000000210 is 1200000002121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12120000000192 and 12120000000201.

It is not an unprimeable number, because it can be changed into a prime (12120000000217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13424535 + ... + 14298885.

It is an arithmetic number, because the mean of its divisors is an integer number (174931604640).

Almost surely, 2^{12120000000210} is an apocalyptic number.

12120000000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120000000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793434045440).

12120000000210 is an abundant number, since it is smaller than the sum of its proper divisors (21466868090670).

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

12120000000210 is a wasteful number, since it uses less digits than its factorization.

12120000000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874553 (or 874550 counting only the distinct ones).

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

Adding to 12120000000210 its reverse (1200000002121), we get a palindrome (13320000002331).

The spelling of 12120000000210 in words is "twelve trillion, one hundred twenty billion, two hundred ten", and thus it is an aban number.