12000210100020 has 144 divisors (see below), whose sum is σ = 37292689940688. Its totient is φ = 3121651537920.

The previous prime is 12000210100013. The next prime is 12000210100051. The reversal of 12000210100020 is 2000101200021.

It can be written as a sum of positive squares in 8 ways, for example, as 848804745636 + 11151405354384 = 921306^2 + 3339372^2 .

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 = 12000210099975 and 12000210100011.

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 47 ways as a sum of consecutive naturals, for example, 68376622 + ... + 68551898.

It is an arithmetic number, because the mean of its divisors is an integer number (258977013477).

Almost surely, 2^{12000210100020} is an apocalyptic number.

12000210100020 is a gapful number since it is divisible by the number (10) 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 12000210100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646344970344).

12000210100020 is an abundant number, since it is smaller than the sum of its proper divisors (25292479840668).

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

12000210100020 is a wasteful number, since it uses less digits than its factorization.

12000210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184610 (or 184605 counting only the distinct ones).

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

Adding to 12000210100020 its reverse (2000101200021), we get a palindrome (14000311300041).

The spelling of 12000210100020 in words is "twelve trillion, two hundred ten million, one hundred thousand, twenty".